{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Filters"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are four basic types of filters: low-pass, high-pass, band-pass, and band-stop. Each type modifies signals to focus on different ranges of frequencies within them. The plots below demonstrate how frequencies in signals are filtered for each type, presented first with just positive frequencies (easier to understand), then also including negative. Negative frequencies must not be considered because SDRs operate with negative frequencies.\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/filter_types.png)\n",
    "\n",
    "![Low-Pass](https://pysdr.org/_images/tikz-14694499c589506389f77ee3751c2778d955838b.svg)\n",
    "\n",
    "![High-Pass](https://pysdr.org/_images/tikz-ff5a06b6682975deedc1a9837ae2cd7b2ec7f8b1.svg)\n",
    "\n",
    "![Band-Pass](https://pysdr.org/_images/tikz-236848c9311020d6f9c1575d0eab9d8a305aa5b3.svg)\n",
    "\n",
    "![Band-Stop](https://pysdr.org/_images/tikz-0e8a4405167bc8184871e14a84e7f83742b16e16.svg)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An example of creating a filter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3d/UkxOSMrl274m9/+xsWLlyIixcvYtq0aYiMjMSFCxfwww8/4NFHH7XpJJuSkoLly5fj4sWL6NGjB7766iscPHgQH3/8MZ9f8+ijj+Kjjz7CrFmzsG/fPnTp0gXffvstfv31V6xYscLt/B6O06dPY/z48Zg+fToyMzOhUCjwww8/oKSkBHfffTcAsxj94IMPMGPGDAwaNAh33303EhISUFBQgF9++QU33HAD3n333WbfY9KkSejcuTMeeughPP3005DL5fjss8/4MThWr16N999/H7fddhu6du2KmpoafPLJJ9BoNJgyZYpH83LG4MGDcccdd2DFihW4du0aX5rNXYfNhcPE4slxW7ZsGaZOnYoRI0bgwQcfREVFBf9ZEv6omD17NgBzqfjnn39u837Dhw9HRkaGpHMgAhQfVVERhORw5aLNlblypc3ffPON09cPHDjA3n777WxcXByrVqvZtLQ0dvr06eymTZtsttu2bRs7ePBgVqVSsRkZGeyHH37otBS3vr6efeihh9ioqCg2MjKSnT59OltaWuq0JLakpISdO3cum5qayiqVSjY5OZkdP348+/HHH7u0v7ky8J07d7ITJ05kIyMj2fDwcLZ///7sO++84zDvq1evsnK5nO3Ro4fT4+IMbr5lZWVOX//uu+/YESNGsOHh4Wx4eDjbq1cvdu7cueypU6f4bUaPHs326dOH3bt3L5udnc2GhISwaWlp7LvvvuswXklJCTt79mw2Pj6eValUbL9+/Rzmyx0HZyXXwmNeXl7Ozp07l+3VqxcbHh7ORkVFscOGDWO//vprh/22bNnC5uTksFFRUWxISAjbtWtXdtasWezevXtdHqN9+/axw4YNY1UqFdu5c2f2zTffdCjN3r9/P3vPPfewnTt3ZtVqNZuYmMjedNNNDuPbXzPNHX/78VmWZevq6ti5c+eysbGxbEREBDtt2jT21KlTLAD2lVdecTkPtFCa3dJnzZ3j9t1337G9e/dm1Wo1m5mZyX7//ffszJkzbUqz09LSmm254KqFANF+YFi2jTLFCCKIWbJkidPQSiBQXl6ODh06YNGiRXjhhRfa7H3HjBmD8vJyp+E1onU5ePAgBg4ciM8//xz33Xefr82xYdasWdi6datDN2aCaAnKmSGIds6qVatgNBoxY8YMX5tCtAINDQ0Oz61YsQIymQyjRo3ygUUEIT2UM0MQ7ZTNmzfj+PHjePnllzFt2jRJ2vMT/serr76Kffv2YezYsVAoFFi3bh3WrVuHRx99FKmpqb42jyAkgcQMQbRTXnzxRfz222+44YYbWq26hfA9w4cPR15eHl566SXU1taic+fOWLJkCZ577jlfm0YQkkE5MwRBEARBBDSUM0MQBEEQREBDYoYgCIIgiICmXeTMmEwmFBUVITIyUvImUQRBEARBtA4sy6KmpgYpKSkOi80KaRdipqioiLL2CYIgCCJAuXz5cosLjLYLMcO1O798+TK/BL0U6PV65ObmYtKkSXzr9WAj2OcY7PMDgn+ONL/AJ9jnGOzzA1pvjlqtFqmpqS6XLWkXYoYLLWk0GsnFTFhYGDQaTVBfoME8x2CfHxD8c6T5BT7BPsdgnx/Q+nN0lSJCCcAEQRDtjPfeew9dunRBSEgIhg0bht27d/vaJILwChIzBEEQ7YivvvoK8+bNw+LFi7F//34MGDAAOTk5KC0t9bVpBCEaEjMEQRDtiDfffBOPPPIIZs+ejczMTHz44YcICwvDZ5995mvTCEI07SJnhiAIggCampqwb98+LFy4kH9OJpNhwoQJyM/Pd7qPTqeDTqfjH5tMJlRUVCAuLk6yVhd6vR719fXQarVBmVMS7PMDvJuju+XXLUFihiAIop1QXl4Oo9GIpKQkm+eTkpJw8uRJp/ssW7YMS5cubQvziHaOq/LrliAxQxAEQTTLwoULMW/ePP5xdXU1OnfujNOnTyM2NtaHlvkWvV6PLVu2YOzYsUHrbXEHKY5DTU0N0tPTXZZftwSJGYIgiHZCfHw85HI5SkpKbJ4vKSlBcnKy033UajXUarXD87GxsYiLi2sVOwMBrhQ5Li6u3YsZb48Dt583YUtKACYIgmgnqFQqDB48GJs2beKfM5lM2LRpE7Kzs31oGUF4B3lmCIIg2hHz5s3DzJkzMWTIEFx33XVYsWIF6urqMHv2bF+bRhCiITFDEATRjrjrrrtQVlaGRYsWobi4GFlZWVi/fr1DUjBBBBIBE2aijpUEQRDS8MQTT+DSpUvQ6XTYtWsXhg0b5muTCMIrAkLMUMdKgiAIgiCaIyDCTMKOlQDw4Ycf4pdffsFnn32GBQsWOGxv3+RJq9UCMGdd6/V6yez6bOd5/HZRhn1rjkMul4PLw7ZPyGYYxuE17hnrY+4/zl+z38/uf828h/U12L/m5L1sxmKASLUCYUoGZ6uB44WVSI2LRGRIQFwybsNdD1JeF/5GsM+R5te2+IsdRPDh7B7t7vXm93cmMR0rm2vylJubi7CwMMls++8ROS7WyoCrVyQb0z9R4J3jewAAYQoWcWqgUziL1AgWXSJYpIQ5CrhAIy8vz9cmtDrBPkeaX9tQX1/vaxOIIMXZPdrd683vxYyYjpX2TZ60Wi1SU1MxadIkaDQayWy7FnMRvx08iS7pXfgWzCxrfo2FuUWzEGevsYLXWLsNbV9jHcawPnZ8zfq3k/1Y19sbTSxqGg2oqm9CcYUWOiihbTSg3sCg3gBcrmOQb4nyJUaqMap7PHL6JGJE1zgo5AERvQRgVv15eXmYOHFi0PaKCPY50vzaFs7TTRBS4+we7e715vdiRgzNNXlSKpWSfhnMyO6CuMrjmDK5l198ybQGer0ea9euxZQpOWg0ApcrGnDxWh2OFVXj8JVq7LtUidIaHb7dX4hv9xciSaPGXUM7Y/bwLogJV/nafLeR+trwR4J9jjS/trODIFoDZ9e4u9eb34sZMR0ridYhMkSJzBQlMlM0mNKvAwBAZzBiz4VKbDxRgp8OFqJEq8M/Np3BP3ecx4zsLvjj2K7QhNCXH0EQBNF6+H08gDpW+jdqhRwjusdjyS198Ptfx+OdewaiT4oGdU1GfLjtHMa9vg0/HLjiEHIjCIIgCKnwezEDmDtWfvLJJ1i9ejVOnDiBOXPmUMdKP0StkOPmASlY86cR+PSBIciID0d5rQ5/+eoQHv33PlTWNfnaRIIgCCII8fswE0AdKwMNhmEwITMJI3vE49MdF/D2xjPIO16CKYU78O69AzE4rf2utEsQBEFIT0B4ZgDqWBmIqBVyzB3bDd//cTjS48NxtboR93yyC78cvupr0wiCIIggImDEDBG49O0YhTV/GoGJmUloMpgw9z/78c+dF3xtFkEQBBEkkJgh2oRwtQIf3j8YM7PTAAAvrTmOz0jQEARBEBJAYoZoM+QyBktu6YM/j+sGAHhxzXF8/vslH1tFEARBBDokZog2hWEY/GViDzw2OgMA8MJPR5F3vMTFXgRBEATRPCRmiDaHYRgsmNwL9w7rDJYFnvzyAE5cpRbpBEEQhDhIzBA+gWEYLL2lD27oFof6JiMeXr0X12p1rnckCIIgCDtIzBA+QymX4f17ByM9PhyFVQ14+tvD1CmYIAiC8BgSM4RPiQpT4v37BkGlkGHzyVKs+u2ir00iCIIgAgwSM4TP6d1Bg+em9AYALFt7kvJnCKIVuHjxIh566CGkp6cjNDQUXbt2xeLFi9HURMuMEIEPiRnCL3ggOw0TeieiyWjCM98ehtFE4SaCkJKTJ0/CZDLho48+wrFjx/DWW2/hww8/xF//+ldR4y35+QQ2HCtGfZNBYksJwnMCYm0mIvhhGAZ/v70fdr+xDUcKq7Hy1wt4eGSGr80iiKBh8uTJmDx5Mv84IyMDp06dwgcffIDXX3/d4/F+OnQVP5+shkohw/CucRjfKxHjeychJTpUSrMJwi1IzBB+Q2JkCP46pTcWfH8Eb+SeRk6fZKTGhvnaLIIIWqqrqxEb2/LCrzqdDjqdtdJQqzWHge8anIL8Qh2uVDZg66kybD1Vhhd+OoZeyZEY1zMB43oloF+KBjIZ06pz8BV6vd7m/+0VKY6DFMeQxAzhV0wfkorvDxRi94UKLP35OD6dOcTXJhFEUHL27Fm88847Lr0yy5Ytw9KlSx2eHyQvwA09w1DcABytZHCsUoaLNcDJ4hqcLK7B+9vOI0rJon8siwFxLDI0LORBqGvy8vJ8bYJf4M1xqK+v9/r9ScwQfoVMxuDvt/VFzood2HiiBPnnriG7a5yvzSIIv2XBggVYvnx5i9ucOHECvXr14h8XFhZi8uTJuPPOO/HII4+0uO/ChQsxb948/rFWq0VqairGjh2LuDjbz+a1uiZsO12GzSfLsPPsNVQ3GbGjhMGOEiAmTImJvROR0ycJ16fHQqUI7JRNvV6PvLw8TJw4EUql0tfm+AwpjgPn7fMGEjOE39EtMRL3XtcZ//79El5eexz/mzsiaF3VBOEt8+fPx6xZs1rcJiPDmn9WVFSEsWPHYvjw4fj4449djq9Wq6FWqx2eVyqVDjev5Ggl7rouHHdd1wU6gxG/ni3HuiPFyDtRgsp6Pb7eV4iv9xVCE6LAhN5JmNw3GaN6JCBEKXdvsn6Is+PQHvHmOEhx/EjMEH7JUxO648cDhThaqMUPBwpxx+BOvjaJIPyShIQEJCQkuLVtYWEhxo4di8GDB2PlypWQyVrPO6JWyDGuVxLG9UqC3mjCrvMVWHf0KjYcK0F5rQ7fHyjE9wcKEa6SY2yvRNw8IAVjeiZArQhcYUP4DhIzhF8SF6HGH8d2w/L1J/FG7incNKADfckRhBcUFhZizJgxSEtLw+uvv46ysjL+teTk5FZ9b6VchhHd4zGiezxevLUv9l2qNAubo8Uoqm7EmsNXsebwVUSGKDC5TzJuzeqI7K5xkJNHlnATEjOE3zL7hi5Y9dsFFFU34tt9V3DfsDRfm0QQAUteXh7Onj2Ls2fPolMnW09nWy4jIpcxuC49Ftelx2LRTZk4fKUaaw4X4edDV1GsbcQ3+67gm31XEB+hxk39O+DmASkY1DkaDEPChmiewM7AIoKaEKUcj4/uCgB4f8s5NBlMPraIIAKXWbNmgWVZp/98BcMwGJAajeemZuK3BePw1aPX495hnRETpkR5rQ6rfruIOz74DSNf3YLl683dwWn9NsIZJGYIv+ae6zojIVKNwqoGfL//iq/NIQiilZDJGAzLiMPfb+uH3c9NwMpZQ3HbwI4IV8lxpbIBH2w9hxvf3oEb396BT3ecR1mNzvWgRLuBxAzh14Qo5XhslLkS490tZ6E3kneGIIIdpVyGsb0S8dZdWdj7/ES8e+9ATMpMgkouw8niGvztlxO4ftkmPLx6D9YduQqdwehrkwkfQzkzhN9z37A0fLD1HK5UNmDDsWLc1D/F1yYRBNFGhKrkuKl/Cm7qn4Kq+ib8fPgqvt13BYcuV2HjiVJsPFGK6DAlbh2QgjsGd0K/jlGUX9MOIc8M4feEquS473pz8u8/d17wsTUEQfiK6DAVZlyfhp/m3oCN80bh8dFdkaRRo6pej9X5l3DLu78iZ8V2fLTtHEq1jb42l2hDSMwQAcH913eGSi7DgYIq7C+o9LU5BEH4mG6JkVhwYy/8tmA8Vj94HW4ZkAK1QobTJbVYtu4ksl/ZjMf+vRfbTpfBZKKk4WCHwkxEQJAYGYKbB6Tgu/1XsPLXixjUOcbXJhEE4QfIZQxG90jA6B4J0Dbq8cvhq/hm72XsL6jChmMl2HCsBJ1iQnH30FTcOSQVSZoQX5tMtALkmSEChgdHdAEArD1yFUVVDb41hiAIv0MTosQ913XG93+8Abl/GYXZN3SBJkSBK5UNeD33NIZbvDVbT5XCSN6aoILEDBEw9EmJwrD0WBhNLL7ac9nX5hAE4cf0SIrE4pv7YPdzE/Dm9AEY2iUGRhOLDcdKMGvlHox6dQve2XQGJZRbExSQmCECinuHdQYAfLP3Mv2yIgjCJSFKOW4f1AnfPD6c99ZEhSpRWNWAN/LM3pq5X+zH7gsV1JAvgCExQwQUOX2SERWqRFF1I3acKXO9A0EQhAXOW7Prr+Px1l1Wb80vR65i+kf5mPKPnfhqTwEa9dS3JtAgMUMEFCFKOW4b2BEAKNREEIQozN8jZm/NuidH4p7rUhGilOHEVS2e/e4Irl+2Ca+sO4lCys0LGEjMEAHHXUNTAQB5x0tQXkstzQmCEE/vDhosu70/fl84Hn+d0gudYkJRVa/Hh9vOYeRyc8Jw/rlrFILyc0jMEAFH7w4aDEiNhsHE4of9hb42hyCIICA6TIVHR3XFtqfH4uMZg3FDtziYWGDDsRLc88nvmLxiB4Wg/BgSM0RA8ofBnQAAPx0iMUMQhHTIZQwm9UnGFw9fj9y/jMJ9wzojVCnHqZIaPPvdEYxYvgXvbj6Dqnq9r00lBJCYIQKSKX2TIZcxOFqoxbmyWl+bQxBEENIjKRIv39YPv/91PJ6b0hspUSEor9Xh9dzTGPX6Nnx3QYbLlfW+NpMAiRkiQImLUGNk93gAwP8OFvnYGoIggpmoUCUeGZWBbc+MxYq7spDZQYMGvQnbi2WY8NZOzP3Pfhy6XOVrM9s1JGaIgOWWAebVs38+VETJeQRBtDpKuQzTBnbEL38egdWzBqNXlAkmFvjl8FXc+t6vmP5RPjYeL6G1oHwAiRkiYJnUJxlqhQzny+twrEjra3MIgmgnMAyD4V3jMCfThJ/nZuP2QR2hkDHYfaECD/9rLyat2I7v91+BwWjytantBhIzRMASoVZgQu8kAMBPBykRmCCItqdXciTenJ6FHc+OxWOjMxCpVuBsaS3mfX0I497Yhv/sKoDOQBVQrQ2JGSKguXlABwDA+mPFFGoiCDfR6XTIysoCwzA4ePCgr80JCjpEhWLhjb3x28JxeGZyT8SGq1BQUY+//nAEo1/dipW/XkBDE4ma1oLEDBHQjOqRALVChssVDThZXONrcwgiIHjmmWeQkpLiazOCksgQJf44pht2PjsWL9yUiSSNGsXaRiz9+ThGvroZH2w9h1qdwddmBh0kZoiAJkyl4Kuaco+V+NgagvB/1q1bh9zcXLz++uu+NiWoCVMp8NCIdGx7eiz+Nq0vOsWEory2CcvXn8QNr2zGio2nUVXf5GszgwaFrw0gCG+ZlJmMjSdKkXeiGE9O6O5rcwjCbykpKcEjjzyCH3/8EWFhYW7to9PpoNNZlw3Ras3J9nq9Hnp9+20cx83d1TGQA7hrcApuz0rGz4ev4qPtF3C+vB4rNp7BJ9vP44HsznjIspJ3IOLucXBnDG8gMUMEPON7J0LGAEcLtSisakDH6FBfm0QQfgfLspg1axYef/xxDBkyBBcvXnRrv2XLlmHp0qUOz2/ZssVtQRTM5OXlub1tCIA/dQMOxTDILZShqN6ID7ZdwKqd5zE2xYTRySxCAvSu7MlxsKe+3vvGgwF62AjCSlyEGoPTYrDnYiU2Hi/BzOFdfG0SQbQZCxYswPLly1vc5sSJE8jNzUVNTQ0WLlzo0fgLFy7EvHnz+MdarRapqakYO3Ys4uLiRNkcDOj1euTl5WHixIlQKj3zqtwEYKGJRd6JUry9+SzOlNZh7WU58q8p8fCILrh/WCrCVIFxe/bmOHBw3j5vCIyjRRAumJSZjD0XK7HhWDGJGaJdMX/+fMyaNavFbTIyMrB582bk5+dDrVbbvDZkyBDcd999WL16tdN91Wq1wz4AoFQqRd+8gglvjsNNWZ1wY/+OWHO4CG9vPIPz5XV4LfcMVv5WgD+O6Yp7h3VGiFIuscWtgzfHQYrriMQMERRMzEzCy2tPYPeFCtTqDIhQ06VNtA8SEhKQkJDgcrt//OMf+Nvf/sY/LioqQk5ODr766isMGzasNU0kWkAuY3BrVkdM7dcBPx4swtubTuNyRQNeXHMcH28/jyfGdcP0IalQKahepyXoG58ICrrEhyMtLgyXrtUj/9w1TMxM8rVJBOFXdO7c2eZxREQEAKBr167o1KmTL0wiBCjkMvxhcCfcmpWCb/ddwTubzqCouhHP/3gUH247hyfHd8ftgzpBLmN8bapf4jOpd/HiRTz00ENIT09HaGgounbtisWLF6OpybZU7fDhwxg5ciRCQkKQmpqKV1991UcWE/4OV6K9/XSZjy0hCIIQh1Iuwz3XdcaWp8dg6S19kBipxpXKBjz97WFM/ccObDlZSg1CneAzz8zJkydhMpnw0UcfoVu3bjh69CgeeeQR1NXV8f0PtFotJk2ahAkTJuDDDz/EkSNH8OCDDyI6OhqPPvqor0wn/JRR3RPw+e8F2HGGxAxBuKJLly50U/Rj1Ao5Zg7vgruGpuJf+Rfx7uazOFlcg9mr9uD6jFgsvLE3BqRG+9pMv8FnYmby5MmYPHky/zgjIwOnTp3CBx98wIuZL774Ak1NTfjss8+gUqnQp08fHDx4EG+++WaLYqat+iJIUV/v7wTSHId0joJCxuDitXqcK6lG51jXZaOBND+xBPscaX5ti7/Y0V4IUcrx6KiumD4kFe9vPYdVv13E7+crcOt7v+Km/h3wdE5PpMWF+9pMSXB2j3b3evOrnJnq6mrExsbyj/Pz8zFq1CioVCr+uZycHCxfvhyVlZWIiYlxOk5zfRFyc3NbpS+CN/X1gUKgzDEtXI5zNQw+/HEbRiS7/6szUObnDcE+R5pf2yBFTxDCc6LDVPjrlN6YObwL3sg9hR8OFGLN4avYcKwY9w1Lw5/GdUNchGPVWSDh7B7t7vXmN2Lm7NmzeOedd2xabBcXFyM9Pd1mu6SkJP615sRMc30RJk2aBI1GI5nNUtTX+zuBNseLYefx1qazqFQnY8qUgS63D7T5iSHY50jza1uk6AlCiKdjdCjenJ6Fh0dk4JX1J7H9dBlW/XYR3+67gsdHZ+DBEekB06PGHmf3aHevN8ln7G4Dp169evGPCwsLMXnyZNx555145JFHvLahrfsitId+C4Eyx7G9k/DWprP4/UIlIJNDKXcvxz1Q5ucNwT5Hml/b2UH4nswUDf714HX49Ww5lq07gaOFWryeexr//v0SnsnphdsGdoQswCqfnF3j7l5vkosZdxs4cRQVFWHs2LEYPnw4Pv74Y5vtkpOTUVJiu3gg9zg5OVkag4mgom9KFGLClKis1+PwlWoMTnPuvSMIgggGbugWj//NHYGfDxfhtQ2ncKWyAfO/OYR//X4Ji2/OxKDO7eM7UHIx424DJ8DskRk7diwGDx6MlStXQiaz/RWdnZ2N5557Dnq9nldneXl56NmzZ7MhJqJ9I5MxuC49FhuOleD389dIzBAEEfTILI33JvdNxmc7L+LdzWdw6HIVbn//N0zLSsGzN/ZCh6jgXrPOZ31mCgsLMWbMGHTu3Bmvv/46ysrKUFxcjOLiYn6be++9FyqVCg899BCOHTuGr776Cm+//bZNPgxB2HN9hnm9mF0XKnxsCUEQRNuhVsgxZ0xXbHl6DO4c3AkMA/x4sAjjXt+Gf2w6g0a90dcmtho+yxLKy8vD2bNncfbsWYfuk1zvg6ioKOTm5mLu3LkYPHgw4uPjsWjRIuoxQ7TIsHSzmNl3sQJ6o8ntvBmCIIhgIDEyBK/dOQAzstPw4s/HsfdSJd7MO42v9lzGwim9MLVfBzBMYOXTuMJn3/KzZs0Cy7JO/wnp378/duzYgcbGRly5cgXPPvusjywmAoVeyZGIClWirsmIo4XVvjaHIAjCJ/TvFI1vHs/GP+4ZiJSoEBRWNeCJ/xzAXR/9HnTfjfSTlQg6uLwZgEJNBEG0bxiGwS0DUrBp/hj8ZUIPhChl2H2xAje/uxN//eEIquqbXA8SAJCYIYISLm/m9/PXfGwJQRCE7wlVyfHkhO7YPH8Mbs1KAcsC/9lVgHFvbMM3ey/DZArspS1IzBBByTCLZ2bfxcqA/5ASBEFIRUp0KN6+eyC+evR69EiKQEVdE57+9jDu+jgfJ4sDtyEiiRkiKOmVHIkwlRw1OgPOlNb62hyCIAi/YlhGHH7580j8dUovhKnk2HOxElP/sRN/W3MctTqDr83zGBIzRFCikMswoFM0AGB/QaVvjSEIgvBDlHIZHh3VFRvnjcaNfZNhNLH4dOcFjH9jK345fDWgVlUnMUMELYPSogEA+y6RmCEIgmiOlOhQfHD/YKyaPRRpcWEo0eow9z/78cBnu3G+LDA82yRmiKCFa+NNnhmCIAjXjOmZiA1PjcJTE7pDpZBhx5lyTF6xA2/mnYbO4N8N90jMEEHLQIuYOV9WFzTlhwRBEK1JiFKOpyb0QN5fRmF0jwQ0GU34x6YzmPqPndh3yX9bXZCYIYKW2HAVMuLDAQAHCqp8awxBEEQAkRYXjlWzh+K9ewchPkKNs6W1+MOH+Vj001HUNOp9bZ4DJGaIoGYghZoIwoZffvkFw4YNQ2hoKGJiYjBt2jRfm0T4KQzDYGr/Dtg0bzSmD+kElgX+lX8Jk97ajs0nS3xtng0kZoigZmDnaADAwctVPrWDIPyB7777DjNmzMDs2bNx6NAh/Prrr7j33nt9bRbh50SFKfHqHwbgi4eHoXNsGK5WN+LBVXvxp/8ewLVana/NA+DDhSYJoi3o3ykKAHCksBosywbd4moE4S4GgwFPPvkkXnvtNTz00EP885mZmT60iggkbugWjw1PjcKKjafxyY7z+PlQEXacLsPUjgxu9HEZN4kZIqjpmRwJpZxBVb0eVyobkBob5muTCMIn7N+/H4WFhZDJZBg4cCCKi4uRlZWF1157DX379m12P51OB53O+utbqzV3idXr9dDr/S93oq3g5t7ejoGCAf5vYjfc2CcRC384hhPFNfjirBwXVu3F36b1QWqM59+xUhxDEjNEUKNWyNEjKRLHirQ4WlhNYoZot5w/fx4AsGTJErz55pvo0qUL3njjDYwZMwanT59GbGys0/2WLVuGpUuXOjy/ZcsWhIXR5ykvL8/XJviMR9KALSoG6y/L8Nv5SkxesQO3pJlwQxILmQdO8Pr6eq9tITFDBD39OkbhWJEWRwqrcWO/Dr42hyAkZcGCBVi+fHmL25w4cQImkwkA8Nxzz+GOO+4AAKxcuRKdOnXCN998g8cee8zpvgsXLsS8efP4x1qtFqmpqRg7dizi4uIkmkXgodfrkZeXh4kTJ0KpVPraHJ8xWa9H///lIa8yHrsvVeHbC3IUMrFYdlsfdIwOdWsMztvnDSRmiKCnb8coYM9lHCms9rUpBCE58+fPx6xZs1rcJiMjA1evXgVgmyOjVquRkZGBgoKCZvdVq9VQq9UOzyuVynZ9E+eg4wAkhgL/vm0ovtxXhFfWnUT++Qrc9G4+XripN6YPSXWZqyjF8SMxQwQ9/Tqak4CPUhIwEYQkJCQgISHB5XaDBw+GWq3GqVOnMGLECABm78LFixeRlpbW2mYSQY5MxmDm8C4Y3SMB//fNIey9VIlnvzuC9UeL8cod/ZGkCWnd92/V0QnCD+iZHAmFjEFlvR6FVQ2+NocgfIJGo8Hjjz+OxYsXIzc3F6dOncKcOXMAAHfeeaePrSOChS7x4fjqsWz8dUovqBQybDlVhklvbcePBwpbdeFKEjNE0BOilKNnciQAs3eGINorr732Gu6++27MmDEDQ4cOxaVLl7B582bExMT42jQiiJDLGDw6qit++dMI9O8UheoGPZ766iAe/3wfylupLw2JGaJd0CdFAwA4XuR9ohlBBCpKpRKvv/46SkpKoNVqkZeXhz59+vjaLCJI6Z4Uie/nDMf8iT2glDPYcKwEk97ajnVHrkr+XiRmiHZBz2SzmDlZXONjSwiCINoPCrkMfxrfHT/OvQG9kiNRUdeEOV/sx1++OijpGk8kZoh2QS9LmOlUCYkZgiCItqZPShT+98QIPDG2G2QM8MOBQkz5xw7JVuImMUO0C7icmYKKetQ3GXxsDUEQRPtDpZDh/3J64uvHstEpJhSXKxow/aPf8f6Ws16PTWKGaBfER6gRH6ECywJnSmp9bQ5BEES7ZUiXWKx9ciSmZaXAaGLx/tZzXo9JYoZoN3DemVOUN0MQBOFTNCFKrLh7IFbclYUItdzr8UjMEO2GnkmUBEwQBOFPTBvYEd8+PtzrcUjMEO0GaxIwlWcTBEH4C50kWACYxAzRbqAwE0EQRHBCYoZoN/RIigTDAOW1Ta3WhZIgCIJoe0jMEO2GUJUcnS3uTKpoIgiCCB5IzBDtiq4JEQCAc2UkZgiCIIIFEjNEuyIjPhwAcL6szseWEARBEFJBYoZoV3RNJM8MQRBEsEFihmhXUJiJIAgi+CAxQ7QrMhLMYabCqgY06o0+toYgCIKQAhIzRLsiLlyFqFAlWBa4UE55MwRBEMEAiRmiXcEwDO+doVATQRBEcEBihmh3cHkzVNFEEAQRHJCYIdodXeLMjfMuXav3sSUEQRCEFJCYIdodnePMYabLFSRmiPbF6dOnceuttyI+Ph4ajQYjRozAli1bfG0WQXgNiRmi3cEtaXCpgsJMRPvipptugsFgwObNm7Fv3z4MGDAAN910E4qLi31tGkF4BYkZot2RZhEzJVodlWcT7Yby8nKcOXMGCxYsQP/+/dG9e3e88sorqK+vx9GjR31tHkF4hcLXBhBEWxMdpkSkWoEanQGXKxt8bQ5BtAlxcXHo2bMn/vWvf2HQoEFQq9X46KOPkJiYiMGDBze7n06ng05nXWVeq9UCAPR6PfR6favb7a9wc2/PxwCQ5jhIcQxJzBDtDoZh0DkuDMeKtCigvBmincAwDDZu3Ihp06YhMjISMpkMiYmJWL9+PWJiYprdb9myZVi6dKnD81u2bEFYWFhrmhwQ5OXl+doEv8Cb41Bf7/33MIkZol2SZhEzlysbkOhrYwjCCxYsWIDly5e3uM2JEyfQs2dPzJ07F4mJidixYwdCQ0Px6aef4uabb8aePXvQoUMHp/suXLgQ8+bN4x9rtVqkpqZi7NixiIuLk3QugYRer0deXh4mTpwIpVLpa3N8hhTHgfP2eQOJGaJdkmrJmymoaEAi42NjCMIL5s+fj1mzZrW4TUZGBjZv3ow1a9agsrISGo0GAPD+++8jLy8Pq1evxoIFC5zuq1aroVarHZ5XKpXt+ibOQcfBjDfHQYrj5xcJwDqdDllZWWAYBgcPHrR57fDhwxg5ciRCQkKQmpqKV1991TdGEkFFWiyVZxPBQUJCAnr16tXiP5VKxbvyZTLbr32ZTAaTyeQL0wlCMvxCzDzzzDNISUlxeF6r1WLSpElIS0vDvn378Nprr2HJkiX4+OOPfWAlEUxw5dmUAEy0F7KzsxETE4OZM2fi0KFDOH36NJ5++mlcuHABU6dO9bV5BOEVPhcz69atQ25uLl5//XWH17744gs0NTXhs88+Q58+fXD33Xfjz3/+M958800fWEoEEynRIQCA4upGsKyPjSGINiA+Ph7r169HbW0txo0bhyFDhmDnzp346aefMGDAAF+bRxBe4dOcmZKSEjzyyCP48ccfnWbF5+fnY9SoUVCpVPxzOTk5WL58OSorK5vNwG+rUsL2UJoXrHOMDzNf+nVNRjQYg29+QoL1HHLQ/NxnwIABWLNmTbPv4Yk9BCE1zu7R7l5vPhMzLMti1qxZePzxxzFkyBBcvHjRYZvi4mKkp6fbPJeUlMS/1pyYaa6UMDc3t1VKCdtDaV4wzjFcIUedgUGVLjjnZ0+wz5Hm1zZIUUZLEM5wdo9293qTXMy4WyaYm5uLmpoaLFy4UGoTmi0lnDRpEp/FLwXtoTQvmOf44YV8nCiuQWUTg5nTJgTd/DiC+RwCNL+2RooyWoJwhrN7tLvXm+RixpMywfz8fIeSvyFDhuC+++7D6tWrkZycjJKSEpvXucfJycnNjt/WpYTtoTQvGOfYMSbULGZ0wTk/e4J9jjS/trODIFoDZ9e4u9eb5GImISEBCQkJLrf7xz/+gb/97W/846KiIuTk5OCrr77CsGHDAJiz75977jno9Xp+Qnl5eejZs2eLHSsJwh06RIUCAKqaqNEMQRBEIOOznJnOnTvbPI6IiAAAdO3aFZ06dQIA3HvvvVi6dCkeeughPPvsszh69CjefvttvPXWW21uLxF8pERbxIzOxYYEQRCEX+PXHYCjoqKQm5uLuXPnYvDgwYiPj8eiRYvw6KOP+to0IgjgyrMrm3xsCEEQBOEVfiNmunTpAtZJw4/+/ftjx44dPrCICHb4MJOOwkwEQRCBjM+b5hGEr+gQZfbMVDXBqZAmCIIgAgMSM0S7JTkqBAwDGFgGFXUUayIIgghUSMwQ7RalXIb4cHN36ZIaygImCIIIVEjMEO2a+AhzP6LyWvLMEARBBCokZoh2TUKk2TNTRp4ZgiCIgIXEDNGuIc8MQRBE4ENihmjXJFjETFkteWYIgiACFRIzRLsm3hJmKq8hzwxBEESgQmKGaNeQZ4YgCCLwITFDtGviIygBmCAIItAhMUO0a6yeGQozEQRBBCokZoh2DeeZqdUZ0Kg3+tgagiAIQgwkZoh2TWSIAjLGvC5TZT15Z4jA5eWXX8bw4cMRFhaG6Ohop9sUFBRg6tSpCAsLQ2JiIp5++mkYDIa2NZQgWgESM0S7hmEYhFvWjq+s0/vWGILwgqamJtx5552YM2eO09eNRiOmTp2KpqYm/Pbbb1i9ejVWrVqFRYsWtbGlBCE9Cl8bQBC+JlwB1OiBKvLMEAHM0qVLAQCrVq1y+npubi6OHz+OjRs3IikpCVlZWXjppZfw7LPPYsmSJVCpVE730+l00OmsCfLV1dUAgIqKCmknEGDo9XrU19fj2rVrUCqVvjbHZ0hxHGpqagAALMuKtoPEDNHu4TwzFSRmiCAmPz8f/fr1Q1JSEv9cTk4O5syZg2PHjmHgwIFO91u2bBkvlIT06NGj1Wwl2ic1NTWIiooStS+JGaLdE65kATCorKcwExG8FBcX2wgZAPzj4uLiZvdbuHAh5s2bxz+uqqpCWloaCgoKRN947NHr9cjNzcWkSZMCxsuh1WqRmpqKy5cvQ6PRtLhtIM7PXbjjcOHCBeTn54uaI8uyqKmpQUpKimg7SMwQ7R7OM1NVR54Zwr9YsGABli9f3uI2J06cQK9evVrNBrVaDbVa7fB8VFSUy5u4u+j1eoSFhUGj0QTczV6j0bglZgJ1fu4SGRnp1Ry9FcYkZoh2D4WZCH9l/vz5uO+++7B9+3aMGjXK6U0iIyPDrbGSk5Oxe/dum+dKSkr41wgikCExQ7R7zGEmoIrCTISfkZCQgOjoaJw/fx69evXy6ld9dnY2Xn75ZZSWliIxMREAkJeXB41Gg8zMTKlMJgifQGKGaPeEcZ4ZCjMRAUxBQQEqKipQUFAAo9GIgwcPAgC6deuGiIgITJo0CZmZmZgxYwZeffVVFBcX4/nnn8fcuXOdhpGaQ61WY/HixR7tE4zQcTDjL8eBxAzR7ongcmYozEQEMIsWLcLq1av5x1x10pYtWzBmzBjI5XKsWbMGc+bMQXZ2NsLDwzFz5ky8+OKLHr2PWq3GkiVLpDQ9IKHjYIY7Dnq9bz3bJGaIdg8XZqJqJiKQWbVqVbM9ZjjS0tKwdu3atjGIINoQ6gBMtHvCyDNDEAQR0JCYIdo9IXLz/+uajF51oCQIgiB8A4kZot3DiRmjiUWj3uRbYwiCIAiPITFDtHtUMoBhzH/X6ChvhiAIItAgMUO0exgGiFCbE2fqdEan25wrq8X6o1dxqrimLU0jCMlZtmwZhg4disjISCQmJmLatGk4deqUw3b5+fkYN24cwsPDodFoMGrUKDQ0NPCvV1RU4L777oNGo0F0dDQeeugh1NbW2oxx+PBhjBw5EiEhIUhNTcWrr77a6vPzBHeORXFxMWbMmIHk5GSEh4dj0KBB+O6772y2cedYXLx4EWPHjvXLY/HBBx+gf//+fDfj7OxsrFu3jn+9sbERc+fORVxcHCIiInDHHXfwDRc5CgoK8NJLLyEqKgqJiYl4+umnYTAYbLbZunUrBg0aBLVajW7durlMWPcEEjMEAauYqW00OLz29sYzmPDmNjz++X7krNiOWSt3o0Tb2NYmEoQkbNu2DXPnzsXvv/+OvLw86PV6TJo0CXV1dfw2+fn5mDx5MiZNmoTdu3djz549eOKJJyCTWW8Z9913H44dO4a8vDysWbMG27dvx6OPPsq/rtVqMWnSJKSlpWHfvn147bXXsGTJEnz88cdtOt+WcOdYPPDAAzh16hT+97//4ciRI7j99tsxffp0HDhwgN/GnWOxZMkSdO7c2S+PRadOnfDKK69g37592Lt3L8aNG4dbb70Vx44dAwD85S9/wc8//4xvvvkG27ZtQ1FREW6//XZ+f6PRiFtvvRUGgwHbtm3D6tWrsWrVKixatIjf5sKFC5g6dSrGjh2LgwcP4qmnnsLDDz+MDRs2SDMJth1QXV3NAmCrq6slHbepqYn98ccf2aamJknH9SeCfY7c/Ma/voVNe3YN++vZMpvXd54pY9OeXcOmPbuGzXlrG9t14S9s2rNr2GEvb2TPltb4yGrPaC/nkOYnjtLSUhYAu23bNv65YcOGsc8//3yz+xw/fpwFwO7Zs4d/bt26dSzDMGxhYSHLsiz7/vvvszExMaxOp+O3efbZZ9mePXs6jOcv59DZsQgPD2f/9a9/2WwXGxvLfvLJJyzLuncs3nnnHTYiIoKtra3lt2nuWPgLMTEx7KeffspWVVWxSqWS/eabb/jXTpw4wQJg8/PzWZZl2bVr17IymYxdtWoVfw4/+OADVqPR8Of/mWeeYfv06WPzHnfddRebk5PToh3u3r/JM0MQACJCHD0zLMvipTXHAQAPZKdh/VOjsP6pUeiWGIFibSPu/vh3XLpW53Q8gggUqqurAQCxsbEAgNLSUuzatQuJiYkYPnw4kpKSMHr0aOzcuZPfJz8/H9HR0RgyZAj/3IQJEyCTybBr1y5+m1GjRkGlUvHb5OTk4NSpU6isrGyLqXmM/bEAgOHDh+Orr75CRUUFTCYTvvzySzQ2NmLMmDEA3DsWv//+OzIzMwPiWBiNRnz55Zeoq6tDdnY29u3bB71ejwkTJvDb9OrVC507d0Z+fj4A8zHo27cvoqOj+W1ycnKg1Wp5705+fr7NGNw23BjeQmKGICAIM+msYuZYkRYni2sQopRh3sQeAIBuiRH46tHr0Ss5EmU1Ojy4ag+qGyhpmAhMTCYTnnrqKdxwww3o27cvAOD8+fMAgCVLluCRRx7B+vXrMWjQIIwfPx5nzpwBYM4j4dZ34lAoFIiNjUVxcTG/TVJSks023GNuG3/C2bEAgK+//hp6vR5xcXFQq9V47LHH8MMPP6Bbt24A3DsWJSUlNjd6wP+OxZEjRxAREQG1Wo3HH38cP/zwAzIzM1FcXAyVSuXUfk/OdXPbaLVam1wssZCYIQg4FzO5x8wfwlHdExAdZv1FFRehxuoHr0OHqBCcK6vD3C/2w2ii/jRE4DF37lwcPXoUX375Jf+cyWRuT/DYY49h9uzZGDhwIN566y307NkTn332ma9MbXWcHQsAeOGFF1BVVYWNGzdi7969mDdvHqZPn44jR474yNLWoWfPnjh48CB27dqFOXPmYObMmTh+/LivzXIbEjMEAauYqRGEmfJOlAIAcvokO2yfpAnBP2cORZhKjp1ny/HO5jNtYyhBSMQTTzyBNWvWYMuWLejUqRP/fIcOHQDAYSXt3r17o6CgAACQnJyM0tJSm9cNBgMqKiqQnJzMb2Nf8cI95rbxF5o7FufOncO7776Lzz77DOPHj8eAAQOwePFiDBkyBO+99x4A945FUlISqqqqbLbxt2OhUqnQrVs3DB48GMuWLcOAAQPw9ttvIzk5GU1NTU7t9+RcN7eNRqNBaGio1/aTmCEIABFqc+c8zjPTqDfiVLEWAHBDt3in+2SmaPDybWZ39D82nUH+uWttYClBeAfLsnjiiSfwww8/YPPmzUhPT7d5vUuXLkhJSXEoUT59+jTS0tIAANnZ2aiqqsK+ffv41zdv3gyTyYRhw4bx22zfvt1mAcK8vDz07NkTMTExrTU9j3B1LOrr6wHApooLAORyOe/BcudYXH/99Th+/LhfHwt7TCYTdDodBg8eDKVSiU2bNvGvnTp1CgUFBcjOzgZgPgZHjx61ETx5eXnQaDS8KM7OzrYZg9uGG8NrPMtvDkyomkk8wT5Hbn6vrTvOpj27hn3hxyMsy7LskStVbNqza9ispRtYk8nU4hjzvz7Ipj27hh2+bBNbp9O3hdke0V7OIc3PPebMmcNGRUWxW7duZa9evcr/q6+v57d56623WI1Gw37zzTfsmTNn2Oeff54NCQlhz549y28zefJkduDAgeyuXbvYnTt3st27d2fvuece/vWqqio2KSmJnTFjBnv06FH2yy+/ZMPCwtiPPvqo1efoLq6ORVNTE9utWzd25MiR7K5du9izZ8+yr7/+OsswDPvLL7/w47g6FmVlZWx0dDR73333uTwWvmDBggXstm3b2AsXLrCHDx9mFyxYwDIMw+bm5rIsy7KPP/4427lzZ3bz5s3s3r172ezsbDY7O5vf32AwsH369GGzsrLYPXv2sOvXr2cTEhLYhQsX8tucP3+eDQsLY59++mn2xIkT7HvvvcfK5XJ2/fr1Ldrm7v2bxIwXBPuXKMsG/xy5+X2w5TSb9uwa9i9fHmBZlmW/3lPApj27hr37o3yXY9Q26tnhyzaxac+uYf+25lgrW+w57eUc0vzcA4DTfytXrrTZbtmyZWynTp3YsLAwNjs7m92xY4fN69euXWPvueceNiIigtVoNOzs2bPZmhrbdgWHDh1iR4wYwarVarZjx47sK6+80iZzdBd3jsXp06fZ22+/nU1MTGTDwsLY/v37O5RquzoWTU1N7IoVK9gbbrjB5bHwBQ8++CCblpbGqlQqNiEhgR0/fjwvZFiWZRsaGtg//vGPbExMDBsWFsbedttt7NWrV23GOHPmDDto0CA2NDSUjY+PZ+fPn8/q9bY/7rZs2cJmZWWxKpWKzcjIcLjmnOHu/VshjX+HIAIbPmfGEmY6aen026tDpMt9w9UK/G1aX8xetQef/XoRt2Z1RN+OUa1nLEF4AevmYqoLFizAggULmn09NjYW//nPf1oco3///tixY4dH9rUl7hyL7t27O3T8tcedY9GlSxds2bIFSqXSIxvbgn/+858tvh4SEoL33nuPzxNyRlpaGhYtWoQpU6Y0O8cxY8bYNBuUEsqZIQg4dgDmli3olexazADA2F6JmNq/A4wmFq+sO9k6RhIEQRBOITFDEADC7RKAL1eaE//S4yPcHmPB5F5QyhnsPFuO389TMjBBEERbQWKGIACEKMxiplFvhMnE4mqVee2lDlEhbo+RGhuGu4amAgDeyjst2haD0YSPt5/D+De24tb3fsWmEyWudyIIgmjHkJghCABqpfmj0Ggw4lpdE5qMJjAMkOyBmAGAuWO7QS5jsOtCBU5aSrs9gWVZPP/jUfx97UmcK6vDoctVeGj1Xr6BH0EQBOEIiRmCABCq5DwzJlytNrfWToxUQyn37CPSISoUE3ubW3Z/8XuBx3asOXwVX+65DBkDLL45E38YbG7gNf+bQyiv1Xk83jd7L2P069vx1z1yvJl3hjoVEwQRlJCYIQgAIZxnpsmIa7VNAID4CLWosWZkmxuL/XCgEHWC5RFcoTea8HquuVHZE2O7YfYN6fj7bf2Q2UGDmkYDPtlx3iM7fj5UhKe/PYyi6kbUGRh8sP0C3sg95XpHgiCIAIPEDEEAUHM5M5YwEwDEhqta2qVZhneNQ5e4MNTqDNjoQb7LhmPFuHStHvERKjw2uisAQKWwLnL57/xLboujyromLP6febXamdmdMT3DCAB4f+s5HLxc5cFszJws1uLva0/gnU1nUGE5PgRBEP4CiRmCgNUzozeyKKsxh3PiRIoZhmEwtb95fZt1R9zPdflm7xUAwN1DOyNcbW0BNb53ItLiwlDfZHRbHH2x6xIq6prQIykCz0zqgRuSWNw6wGzTu5vPum0TAOSfu4Zb3vkVH28/jzfyTuPmd3aiuLrRozEIgiBaExIzBAFrzgwAFFWZc2Ziw8WFmQBgSj+zcNhyqhQNTUaX25fV6LDjTBkA8HkyHAzD4NYBKQCAnw4WuRzLYDThi13mfJ05Y7pCpTB/zP84OgMMA2w8UYKCa/VuzaOqvgl/+u8BNBlNyM6IQ1pcGAqrGvD8j0fcbr4mpFZnwIGCStQ06l1vTBAE4SY+FzO//PILhg0bhtDQUMTExGDatGk2rxcUFGDq1KkICwtDYmIinn76aRgM7uchEIQ7qBXWjwInZuIixHlmACCzgwYpUSHQGUzYdcF1z5ltp8tgYoF+HaPQJT7c4fWbLGJm59lyNOpbFke7L1TganUjYsNVvKgCgIyEcAzvGgcAWHPEtSgCgNW/XUJ5rQ5dE8Lx2ayh+PSBIVDKGWw8UYpfz3rWS2fLqVJkL9uE297/DcNf2Uwl5wRBSIZPxcx3332HGTNmYPbs2Th06BB+/fVX3HvvvfzrRqMRU6dORVNTE3777TesXr0aq1atwqJFi3xoNRGMMAzDC5qSGnMIRRMqvu04wzAY2T0BALDzTLnL7beeKgUAjOmZ4PT17okRSIxUo8lgwv6CyhbH2nTSPNb4Xol8LhDHTf3NomjNoasubWrUG7HqtwsAgKcm9ECoSo7uSZG457rOAIB/5V90OQbHxfI6/Ok/B1DTaECIUoaaRgP++MV+XLpW5/YYQvRGE3QG1x4vgiDaBz4TMwaDAU8++SRee+01PP744+jRowcyMzMxffp0fpvc3FwcP34cn3/+ObKysnDjjTfipZdewnvvvYemJkpCJKQlxBJqKq8xX1uaEO+WLhvRPR6A2ZvSEiYTy2/TnJhhGIb3quSfa94jwrIs7/EY3zvR4fWcPslgGOD4VS1Ka1rOe9lxphyV9Xp0iArBjX2T+ednXG+u1tp4ogQlWvdyZ5atO4FanQFDu8Tg4KJJyM6Ig85g4pOUPeGT7eeRtTQXfRZtwHM/HIHeaPJ4DIIgggufLTS5f/9+FBYWQiaTYeDAgSguLkZWVhZee+019O3bFwCQn5+Pfv36ISkpid8vJycHc+bMwbFjxzBw4ECnY+t0Ouh01p4cWq25eZler4deL12snhtLyjH9jWCfo3B+IQoZqgG+n4ta7t28h6aZF5s8WVyDa9r6Zj09Z0trUVWvR6hShsyk8Gbf87ou0fjxYBHyz5VDr89wuk1RVQMuXquHXMZgWJdom2ter9cjUqVEz8QInCypRf6ZMkzpl+x0HABYawlFTcpMBGsyQm8ye0K6xIagfycNDl/RIu/YVdw1pFOzYwDA+bI65B43C6wXb+4NOUx48ZZemPyP37D1VBmOX6lE9yT3lo348WARXl57gn/8xa4CsCYjhik8P1csy6KstgnRoUo+r8gfCfbPIBD8cwz2+QGtN0d3x/OZmDl/3twzY8mSJXjzzTfRpUsXvPHGGxgzZgxOnz6N2NhYFBcX2wgZAPzj4uLmq0SWLVuGpUuXOjyfm5uLsLAwCWdhJi8vT/Ix/Y1gn2NeXh6MTXIADAyWxnLHDuyFzrPWLg7EqeW4pmPw6Q8b0SvaecLs76UMADlSQozI3bC+2bG09QCgwJHLlVjzy1rIGMdtDlwzj9Uh1ITtm3JtXuPOYSIjw0nI8M22g8Bl514NEwtsOGI+Hhrteaxda3sgOjEMDkOOr7YfRWTp4WZtBoCfLsnAsjL0jTHh9N7t4BZ6yIyS4UilDMu+3Yk/pLv2rtQbgKX7zTZN6GhCajiLlafl+O+eK0ju59k1WqkD/nlKjst1DMIULO7KMCErzr8bCgb7ZxAI/jkG+/wA6edYX+9esYLkYmbBggVYvnx5i9ucOHECJpP5y+u5557DHXfcAQBYuXIlOnXqhG+++QaPPfaYaBsWLlyIefPm8Y+1Wi1SU1MxadIkaDQa0ePao9frkZeXh4kTJ/rlsu5SEOxzFM7vnbO7UV5mzeEYP3oE+qR4d71srDuMnw8XQ9WhB6aM7ep0m/z/HQfOXcHYAemYktOj2bEMRhPeOrYZOoMJfYaNRrqTROFD604Bpy9hVJ9UTJmS6TBHpVIJ+bESbP/yEMqgwZQpw52+16niGtT/no9wlRx/vHMCFHadkNOKtFj7we84W6vAhEnjmvVssCyLN1bsBNCARydl2YSrIrqX46F/7cfxmhBMnjwaMmfqTMAH286j0XgW3RPD8e6jwyGXMbj2zRH87/BV5F2R4as/jXfrGm3UG3HXJ7txuc68Mnq9gcG/ziowdex1GNApyuX+9vP77XwFSrSNGN09HnEiGy22RLB/BoHgn2Owzw9ovTlykRVXSC5m5s+fj1mzZrW4TUZGBq5eNScgZmZm8s+r1WpkZGSgoMBcVpqcnIzdu3fb7FtSUsK/1hxqtRpqteOXilKpbJULqbXG9SeCfY5KpRJKu2TZ6PAQr+c8KC0WPx8uxuFCbbNjHSk0f1gHp8W2+H5KJdArORKHrlTjVGk9enSIdtjmMD9WnMNY3DkcnG7OvTlbVgcjZHyukJADheYb/cDOMQgNcfwsDegci5gwJSrr9Thb3oABqY62AOZmewUVDVApZBif2QFKpfUrZ2SPJESoFbhW14STpfXNjgGYRcOXe8x9eOaM6YYQtbnS7Inx3fG/w1dxrJJBRYMRndzwvK7ML8DxqzWIC1fhuznD8eqGk1h7pBgv/nISP/7xBpeiisNkYvHkVwfx8yFzOE4TosDqB6/DwM4xbu3vKcH+GQSCf47BPj9A+jm6O5bkgeKEhAT06tWrxX8qlQqDBw+GWq3GqVPW9up6vR4XL15EWpo5wTA7OxtHjhxBaWkpv01eXh40Go2NCCIIKVDJbW9iEV4mAANA/07RAMwJt84wGE04U1ILAOjb0bVXIDMlqtnxTCYWx4rMz7ckDJI1IYgOU8JoYnG2tNbpNvsuVgAABqc5vzEzDMO/x4EWqqu4Sq4busbZNAIEzN2NR3QzJ0lvPlnqsK+QQ1eqUVTdiDCV3KbcvEdSJIakRcMEBmvcaFDYqDfikx3mCq1nJ/dCl/hwLLmlDyLUChy+Uo3tll4/7vDBtnP4+VARFDIG6fHh0DYa8MR/DqC63rOcAZOJxT82ncHo17bgjg9+w+4LFR7tTxCED6uZNBoNHn/8cSxevBi5ubk4deoU5syZAwC48847AQCTJk1CZmYmZsyYgUOHDmHDhg14/vnnMXfuXKeeF4LwBvtFJSPU3ouZHpbE1hKtDtUNjje5y5UNaDKaEKKUoWN0qMvxMjtEAjCHgewpqm5Ag94IpZxBl7jmPRQMw6BXsnmcE82IrP0FVQCaFzMAMDDV/FpLyyPsu2QWOkPTY52+zlVv/X6+5Z41646aPbljeyU6eJIm9zHn0W077boEfvPJUpTV6NAhKgTTBnYEACRGhvCNCr/ac9nlGIB5uYj3t5g7Kb98W1/8/KcR6GJpKPjPnZ4lWr264RTezDuNS9fqse9SJe7/565mz0tL6I0m/Hd3AZb+fIwv9SeI9oJPU/hfe+013H333ZgxYwaGDh2KS5cuYfPmzYiJMX9JyuVyrFmzBnK5HNnZ2bj//vvxwAMP4MUXX/Sl2USQohB4ZmSMbSM9sUSGKJESFQIAOFPiKEC457omRLgV3uAa6jnrz3LOku/TJS7cIcfFnt4dzLlAJ52IovomAy5XmpPuMlvIGcrqHA0AONCMmGFZFnstYmZImnMxM8gilo4UVre4ovcOi1CZlJnk8NqYHmZBtPdSJWpdrF219ohZFN0yIMUmz+euoakAgLzjJU5Fpz2r8y+irsmIzA4aTB+Sigi1As9M7mV5zf01tI5cqcaH284BAJ6b0hsju8ejyWDCX746CJMHK5wbTSwe+ddeLPz+CFb+ehGzVu7BB1vPub2/kOoGPb7cXYDv919xq3s1QfgDPhUzSqUSr7/+OkpKSqDVapGXl4c+ffrYbJOWloa1a9eivr4eZWVleP3116FQ+KwIiwhihJ4ZtUIOhnEvd8IV3ZLMXpAzTkI6Z8vMz3VPdK80uUucWcxcrmxwuNmds4zfNcH1WL2TzSLFmYfnXGkdWNa80GZLK4f3tQidgop6pze9K5UNKKvRQSln0L+ZxNquCRGIUCtQ32TEaSdiDzAvgXCy2OypGGbJ9xGSFheG+BAWeiOL31vowdOoN/LhrBsFoSrALO66JoTDYGLxm4u+QCzL8stKPDIqnb9Ocvoko3NsGKob9Mg77l5347c2mmu7pmWl4JFRGXjrrixEhihwsriGb37oDit/vYCtp8oQqpTjJsu6YK/nnvJ4UdHLFfXIeWs7Fnx/BPO+PoSb393JtyrwlL0XK/DhtnMuvW4EIQX+21yBINoYGzGjlO6j0cMiVJzdrM9a8mW6WwSPKzpEhUAhY9BkMKHYrmHdOYsw6proWOVkD+fhKahwLHvk7OzmQmDFRagRE6YEy1rfWwiX19MzOdJpkjEAyGVWodPcjfdAQSVMLNAxOhTJFi+XPV0jzcLu0BXnYwDAoctVqG8yIj5C7bRqaXQPc5PBbadbzps5VqTFhfI6qBUyTMy0FiLIZQxusSw7sf6o6/ydoqoGXlw9OcFcxRYfoca9w8wdlj/becHlGABQpzPg7Y1nAAAv3JSJd+8dhFsGpMBoYrF83Um3xgDM+VtPfnkAxdpGpMaGIiFSjbOltXjhx6Nuj8HxwdZz+MOH+Xhl3Unc/fHveHW9+3YIuVJZjxd/Po4F3x0Wtdo70X4gMUMQFpSCMJMUISYOriHcuTLH0ND5cvNzXRNcCxAAUMhl6BRjzq25aBdq4gSFKxECAJ1jzTk1hVUNMNh10OU8SD3caGTHeYGciRkuubhHYstCjUskPlpY7fT1vRctoaouzefvdI4wi5mWbnhcyOu69BinXrfRlvyd7S7EzKYT1qUn7POqJltKz7eedr3AKFcFdV16rE2Z/QPZXQAAv1+4xq/g3hLf77+CGp0BGfHhuNsSLnv2xl6Qyxjkn7/mdv7NL0euYn9BFSLVCvzn4euxavZQKGQM1h0tdumtEvL7+Wt4dYNZvFyfYQ4vvr/1HL+QqrtcrqjHLe/+is9+vYAv91zGHR/8hi0eeKs4tI16PPnlAWQuWo8b396BfZfEJVizLIstp0rxxa5L/PptYjGZWFELtRLNQ2KGICwIPTNSdoRNtQiHK5WOXhDuS7FTjPvNHNMsoSb7la+vVJrH4oRKSyRGqqFSyGA0sbhabevhOVtq9sx0dyFCAKtwOuckhMblA3VzIYq4EJszQQRYPTwDLJVhzkiziJlDl6uavUlwVUJDuzjP3xnaJQYyBiiqbmxxmYbdF81hE27tLSF9UjRI1oSgUW/Cgcstr6ElzN8R0jE6FAM6RYFlzUtGuOKrveak5Qey0/i8q47RocixJEZ/s/eKyzFYlsU/LZ6gR0ZlIDU2DH1SonD3dWZxtOq3iy7H4MZ5Zd1JsCxw5+BO+PLRbMwa3gUAsPh/x9zOA2JZFk9+eQAVdU3olRyJ8b0SYTSxeOa7w9B6sOK6ycTiz/89gJ8OFqG+yYgTV7WY8c/dzV5rLY3zxH8PYPbKPXjuh6MY/8Y2j8UZYE7SXvTTUfRetB7X/X0Tvtvn+tw4o77JgLfyTuOhVXvwyfbzDj9I3KW8VocPtp7De1vOorjavaVJnHH4ShVeWX8KvtRnJGYIwoJ9zoxUdIq2eEEqG2xutDqDEaWWX94pblQycaRZKpUuCUJEJhPL34A7RLkeSyZjeA/PZbtQ0+UKsyhytnq3PVbPjKPXifPwuBJFLY0BWEVRz+Tmx0kJMwtQbaMBl645ikaWZfkFOpsTM2EqBW/r4SvOvURNBhNfoTXMSYUWwzB85RbnUXKGtlGPIxZP1ITejknNk/qYPTwbXeTeFFc34mihFgxjXVmd49Ysc7VW3olil16Ak8U1OHylGiqFDPdZwlwAeCHi7jpcey9V4uDlKqgUMj4hev6kHohUK3C+rA6/nnPPw7P1dBn2F1QhTCXHpzOH4P37ByEjPhxlNTp8st39arHv9l/B1lNlUCtkWDlrKK7PiEV9kxGLfzrmkWfkw+3n8Mvhq1DKzZWADXoj/vTfA6iq92yNwL+vO4V/5V+CzmBCWY0O8785hC0eVp4ZjCbM+mwP3t50BptOluLltSfwf98c8tjTU3CtHje+vQPL15/EaxtO4ca3t/M/ZDzhv7sLcOt7v+Kfv17C8Spp8gzFQGKGICy0VpgpOSoEMgbQGUwor7V++ZVU6/j3iglzv8kUlzdSqrWGIK7VNUFvZCFjgIRI99oWpFq8QfZ5M5y3qGO08/wUIVx+jv0vXWEPG1fJzRmWEFtZjWP5eqPeyNvX0vpNchnQzTKOs0TroupG1DQaoJQz6NFCflI/Sy7N4WZyb44UVqNRb0JsuKrZcN5QSzhsz8Xmwxl7L1bAxAJd4sKc5gGNsnh99lysaNGbsemkWexkpUY7JGuP7B4PtUKGyxUNOF3Ssici91gJ/77CLsbdEiMxsHM0TKw1vNYS31q8QLdldeSvw8gQJe6wlL5/8XuByzEA8ILl3us6o1NMGNQKOeZP6gkA+O/uy24tLmo0sXjfUtH1l4k9MLZXIl69YwBUChl2ni3nw46uqKpvwvtbzOO8dGtf/O+JEeiZFImqej1WWHKV3OFiDfD5rstgGOCtuwbgHovX65lvD6NR737V2Kc7L2D3xQpEhijw53HdIJcx+PFgEZ+U7g4mE4v/++YQymp0yEgIR6/kSFTW6/HklwfRZHDfy3O6pMYiDIGp/ZLRIcx3rhkSMwRhobXCTCqFDEka8w2rUBBrL+RFQ6hHlVMJlptNmaDKhPvVHB+hduiX0xxcOEooZrSNetRYyord8fB0tHid7JORr1Y3QGcwQSWX8WG25ogMUSJJY57TeTtRdK6sFiYWiApV8vNuDi7vxH4MADhtqdpKjw9v8dxyicGHmvHMcHk9A1Ojmz1nXBn6gYKqZoXI7+fNQuf6DMfqLADo3SESoUo5tI2GZj1WgLUp4fhejiukh6kU/ErrrkIieSfMCcvOSt85z9EmFyEvo4nlw2K3ZNl6ibg+PttOl7m8cZfWNCLfUgE164Yu/POT+iQhPkKN8lqdW8Jqx5kyXCivQ1SoEvdbVnrvHBeGaRbb/rvbPWH17/xLqNUZ0Cs5EncNTYVKIcNzU3sDAL7ee9llOwCOdZfN190fBnXCbQM7YfHNfdAxOhRlNTp862a4qVZnwLubzf2NXrgpE/Mm9cSfxnUDALy96YzbYbwNx4qx+2IFwlRyrJ59Hf714HWICVPiWJEW/zvkvihatvYEmowmjOuViLfu7IdYH7Z/IzFDEBZsw0zSfjS4hnjCvBnOA+JJiAmwel6EyaFc3kuHZqp9nMGFmYTJjFerzONEhykdOvY6g/MqVNXrbRJeiyzjdIgOgdyN/jlcqMm+IzHXHblHUoRLwZcRbxZNzvIhuAqtlrwygLWvjrOeQIC1L0+vDs2P0zM5EiqFDLU6a78eew5amhI2F/JSyGXIsiRG77Ns64wDLsbhQl77W+jSXFnXhKOWZTDGOhFF4yzP7TxbDp2heSGy71IlrtU1ISpUievsQnB9UjRI0qjRoDe6LNXecKwELGtODBfmkinlMtxqESKuhBUArLN0hL6pfwebRO27rzOH0X45fBX1TS0LEZZl8cPBQgDAIyMz+GtwZPd4ZMSHo77JiF8Ou775F1Y14GS1DAwD/GlcdwBAiFKOh0emA3A/J+mHA4WotSR7/2GQWSA+PDIDmhAFLpTXuV3Ov9LyfrNv6ILU2DAkakLwyKgMAMA/d15wK2R1vqwWW06VgWGARTdlStbKQiwkZgjCgjDMpJIwZwawCofCSqtwsIoZ9wUIYO5YCwBlNVZvSHG1eazmSpedwYUlhKEvziZ3vDKAeT2icJX5WF2tFoiiam4c9+zh8oAK7apErNVeriurrJ4ZR0/GKS7vxoWYyYg3v8/V6kanN7pTxVy5efPNBOUyBt0SuHJ8R2HFsixOWMbp07H5cbjuy801Jbxa3YBibSPkMoYPj9kzyLJO1L5Llc3eoLgKsIz4cKchyl7JkYgJU0JnMOHE1eZzKn6z5MOM7pHg4B1kGIYXRVtPtewl4vKEJvdxXH9vbE/LGKfLWvRCGIwm5B43i5mpdj2FBqZGo1NMKHQGk0thdbK4BufL6qBSyDCpj9VrxTAM7hxiDhP9fOhqi2MAwFpLqf51XWLQWdCd+47BnaCSy3C2tNatfJVvLMne919vTfaOUCv4po8/WYRXS1wor8PuCxWQyxjeYwWYQ3ohShlOXNXyy6K0BJd4Pq5nolv5da0NiRmCsNCqnpkYzjMjEDPV3nlmrtU18VUMVs+M+2PFR3JixurhKfQgXwYwf6lzAkpYFcV5ZlLctIezm/MMWcfhqr1cj5PBiZlyJ8nIbvbziQlX8flLF8ttvSosy/LipFcLyciAtazdWW+hwqoGPn+HE0/O4FZsb279LM670ys5EmEq5160/p2iIJcxKNHqUNRMtQrntWlugUyGYfjXWlqHi1+6opkS+hss63DtbaE02mhi+XFG9Yh3eH1oegzCVHKU1eiaXe8MAI4WaVFZr3fqJWIYBqMtXaO3uRBWXPPD0T0SEBlim9c2MdMsrHZfrHBZhr/ekpM0pa+tQNOEKHFDN3Mo0FVvolJtI5+YftMAW4HGNYHceqqsRe8ZYBWL2RlxNt8X0WEqPlcr142mj9yxuW1QR5fbtgUkZgjCgqIVxQyXMyMMDZXVmD0i7ibscsSGqyBjAJYFKurMY3BllZ54ZuLCzStPCz0zV0UILG5boZjhPTNuiiJeEDnJvXHXnnRLmKmirslhsUcuLyjdjV+Q3DYX7ERRYVUDanVmEeJqnB7Jza+hdfKqdQmLlvJ3uITns2V1cOaEOGzJ32lpUdEwlYIXXkeayQPixMygtObHGcgvKlrl9HWjieXF1aBm1vPiwmYnr9Y0mzdzqqQGtToDItQK9HLi/VIr5HxIraXQ2R6+DD/G6dIenJjZfqbl6qpdF8yem1E9HMvwuyZEICUqBE0GE7+dM7SNej6MN66X4zg5Fg+Uq8VWOY/WgE5RvHeWI6tTNBIj1ajVGZDfQhdswJo0Pr63Y0iRq6Jz1cH6XFktzpfVQSFjnB4bX0BihiAsqGzCTNJ+NJwl7VZayjo5UeEuchnDV5xwpd3cuC0tP+Bgk0VEVdTpeJf9VRGiKNki1IqrHUNo7nqKuHCUcAzzOO57nMJUCt6rclVrHadWZ+CrpNwJ6aVbvCUXym09Ipy4SYsLd5lkzYWznHlmuKUZuPWxmsP8Pgzqm4yodNI7j+vt4yp0xuUJOcslYlmWv9G21MeH88w015TwTGkNanQGhKvkzdrTMToU8REqGEwsjhU5F1b7LpnHH5QW02yuFSfeDl12PgZg9pYAzecSDbMkXl8or0NlnfPyar3RhP0We5orw+du5L+1ICC4yrX4EJb/rAjJtiRpHy3Utpgcvc2SxO0sr0kmY/hFW1tadb1OZ8AeS8uA8b0ck725UOCJq1pca2EZix2WxpLDMmKhCXG/ErM1ITFDEBYUrdRnBnCetMt9icaEeSZmAEdxpLXcrKND3f9iibWIKBNrFVZVFo+GJwKrg8VrUuQszOSmZ6aDk1AVy7KCMnH3RFESL6yEtpjH0IQoHEIFzuBKxe1zb7h8p1R3Ql6WnJlL1+odclW46iRXnZqVchkfhipucLyx88tXuMgn4t7HWVJzeW0Tqhv0YJiW7eltSXi+XOl8HS7O29QnJarZRU4ZhuG9M815eLgqssHNhLwAICuVqzhzPgbLWkNVQ5oRM1GhSt67dqSZztNHC6vRoDciJkzJ50DZw3mhDrXQeXqXpXKtm8Z5jk/n2DAkRKrRZDQ1awtgDSvah804uCq6lkrOuQVdU6JCbHJ3OIQtB5o7RwCw3/Kas7XSfAWJGYKw0Jo5M5zHpKxGx9/cKiwCItZDzwwgEEeWXjOc5yHKg341SrkM0Zbtr1mEFSdqokLdt4n7tVniLMzkpmcm2bJdTaOBL3WtqGuCzmACwwBJUe55nDiPkrDBG58H5GaXZb5js10yMpfv1NENMcOJswa9EZV2IS+uos2dTs1cqKnYrihKbzTxzQFdrcXF3ZzOtrDkROfYsGbXzwJs1+E6X958tVhLvYAAs9gRbu84jnns3i1Ui/W3eJDOldU67QZcotWhoq4JchmDvi0kWPfr2HJPIU6gDOoc0+yK9ty6YseKtM0mJHPhMG79MHsYhsGQtJZ7E5XWNKKwqgEMY7XbHqGwaq4PDydQuBXvncEJyX0thPG47tYDWxinrSExQxAWhNVMCjfKiT2BS7Zt0BtR32SE0cTyAiRahGeG85xwgqiKEzMeeGaE45RbPEacZ8aTJn5xEeYxOEGkN5r4G3iSE7e6MyLUCkRaymc5rwrn3UmIULvtKbOGvARJzZWeJTVzY5Ta5e8UerD0RIhSzgtOYQUbYO2w7ElS8zWd7fVYUFEPg4lFmEruNHQhhGtaeLa01uGGy1XQNOd5ENJc+Twg7PbsnpfIWe8cE2tN3m6phD4+Qo0OUSFgWefeJq5yLT0+vMXrpr+LnkLcOC2FA7slRCBEaS7Dv3DNcU4sy/Jeq07hzVdfcVVnzeU1cSG17okRzXoXuyaE81Vnx5upRuISuAemNu/54nKn9jXj4Smr0eFyhVlYtZSv1daQmCEICzJBn4TmfomJJVwlh8ri+amsN7v2uehDtAfCgUNjES3VDXqYTKyoMBMgKM+u48JMltCXB94iXlhZxuBEGsN4Jq64ZGHOq1PEJxG7n4zMh5m0jmEm90NV5mNSotXZhIg4j4q743DbFVZZ3So6gxEllpJ6V80EAWvis33ODJcv0zXBdf+dzrFhUMllaNSbHErfOWHizuKkLQkRvtuzq9L3BOcdowGgvNHcJVutcN1osaUlMLgGia5yiVx5ibieQi0to6GQy5BpETvOhEhhVQNqLEnjiS1cNlzCeHO2cN6jlvKaGIbh53SqmXG40FxLIiTLInROFGmdlvMfKTSP0S0hwm/yZQASMwTBIxQzUvd/YhiGFy1V9Xr+xq8JUbjdsVdIlEDM1DYZ+GoXjadihivPrjEnAVu9RZ7n3lTU2ebdaEKUbjXM4+AqNLhSce7/rjr/CnGWSFzoYXNCThA16I3QNlp7zXBhJnc8KkAz5fhVjWBZIFQpdysvySpmHD0zAJzmPdijkMv43CV7McOJga5uiBleQNh5Zhr1RlyyeCVcLl1hyQESfgY4uLygbokRLq+b5irOAOuN3FWDRG6l+ssV9Q4t/E0m1iqKXJTh9+rQfAk9V82WER+OliLXnPC6eK3eaWk111qgl4uk8Zbyo7SNepRYwtItNX1Mjw+HXMagRmfgt3dmi6vj0taQmCEIC8LvT1krdLPkEn2r6vV8boqYfBnAVsxwZchqhazFvAdnCL0q2kY9L4qiPciZiQs3i41anQE6g5H37njqceK8QddqbUWRJyGvJE7MCL6EufwZdyu0QpRy/vhyoaYmg4kfx52cGQDoxHtmrAKC8+50inFvCQtezNgV3HChuBQ358T38bGrFuNscyd/h/Oq2AuIyxX1MLHmUKGrNgOhKjnvsbL3zpRYTHMlQoS2OF26gl+YtGVhlRCpRrhKDhPruD5ZYVUD6pqMbpXhp1tWsXcWZjrpppcoSaNGZIgCRhPrtOkjl6fEzbs5uGPnbH0ybtzESHWLHhWVQsY3sTzjpJGfu4nnbQ2JGYKwILy3tEZjbi45t7K+if9V6kk4x2Ysy81W26C3Jv966JUBwH+p1TTq+TyXcJXco9J0TaiCzzGqqGviRYinIS9OWFkrqzw/RnwysiDMVFlntscT4ciFmrhwVVmtDibWnFcVH+6ep8hZ12fOS+NOiAmwVoM1GhnUCJJdObvczUniQnhFgqaELMta+/i4kajNCSv7dbi4KjZ31xhrTohUNJr3TXPD28RVizm78V90s2s0wzBIb0agcTfs9HjXZfhc99sLLYXfXCRpM4x1AVT7UJPRxOKiJdnbVW4Tl4B9xknnaWFo0hXc+zgbx5PQZFtCYoYgLAi/iFvHM8OFmZqsN2oRyb+ANZwkFDNicm8iQ8xJtzWNBl5EeJqQzDCMjaeIT0b2cBzuWFRYxAcnrjyZF+cZqKxvgtHiZqoUcayTeFFk9vBwZfSx4Sq386mcNRP0tLmhsHeOUIgUe9jxuWO0o2emql6PRr05vJKocS3QuBBeRV2TTT+Uqx4uy8ElUBfZdXuusDjT3AkHconRl67V8+cZMItyLjTojgetuZ5CnOh0x2PFeW4uXqtzyDG5XOFB5Vqi8zBeYWUDmgwmqBQyl8eGG4Nr8CiEq2ZzVf0GCBs22trCsiyJGYLwd2wSgFvBNSMMM3E3bLFixibM5I1nhhNFjdZwVUy4+HFqGg0CoebZOLGW962o4yqrLOLKg5AX5w1iWViSrFmrmPHIM2Pr4bkmoieQde0ra8jrmmVu8Z708bGIiCKb0ndOFLnnJXK2XAQ3Rly4yq3wZFSoEiFK8y3DWR8fdxO1rXlNtmKmssn8oXMnwTolOhRyGYMmo8npchwxYcpml3gQ0tx6XoUeJI13jg2DjAHqm4w2faQAz8r5OW9doZ3I47xEGZZclpaIDlPxHsjLdqEzTiS5U7nWLdF55VpZrQ7aRgNkjHvdtNsSEjMEYUH4PdEaK8ByK/fWNhlQ1SAur8RhLJ2RD+uIETOcZ0Yr8MyIEVgabpwGvegwEyc2uLCQmJwZhVzG21JR14S6JiP0RvOv5ViPPDOWDssWMcN5ZrgydHfgkquv1TZZewvVeZ4rZd9Q0GRiUVrDiRk3BUS0M0Hk2ZITDMPw4SibdbgEYSZ34EKBwqUrWJblK7bc8czIZQyfGC4URYUeiAfA6jGxT4y2Jnu79qioFDL+/YTrggkr19xJGndW/QaYPT6A++IhhQ8p2s6JywtyZ1HIVN575rytQIeoUI/z81obEjMEYcEmZ6YVPDMRlptsbaMBtRZXOCdKPCVcbf4iqW+ytur3tJIJEObMGARhHRFiRuDh4YSap2GmKMEYAESHvWIFuTecCFErZAhVuf/lG2vJi6mwHJMKEZ4ZLgeoyWiCtsF8vrnk5lgPKrQ4Dw+377W6JuiNLBjGnMzpDilOEoB5747G/dL3ZD7B2tnSFZ6twyVssljdYECTifFoHGuyt3Uc3hPiYRl+qdbeo2JN1HYH7uZ/1WZJD2vlWqwbgpwTcfbhN09Dity5thci3Pl2RyxyXrYSbaNNbyKrLe4vd9JWkJghCAuyVs6ZsXpTDKjTeSdmOBd6fZPRKh688czYhKs8t4kTRdoGgSjy0B6hsAIgOhcoRlChJbZqjLOdC3WJ8aiEKOX88eWWneDCVZ6EmThRxO3Lhb7iI9Rul/Vz3peqej2/HIF1EU/3b0wdohxvuJ7cJAHBoqLCG7/lb3dDXgCQzPcDctLtOdq9BGtnfYkAzz089jlWgFUQpca6lxjNvdfV6gZbAcFX47kpXHkPj3VOwh897uRrJUWqIWMAvZG1CeNx58yTtdvaChIzBGGBaeWcmUihZ0ZnvqGEixQzQhHE/ap0Z90hR5us1Uz1FoElxiYbUSQy90Y4BsuygjCTuETiyjpr1Zin3h3Odk4MiV16wupVMZ8jXhR5EK6y77DMhZjc9coAQKRawVeocXk7XJdkdyuiAMd8F+H6We5URAHWG6G20YD6JvM1d9XDtbwAYbdnxzCTu+MkWXobVTfo+aTmRr2RX8DVnTATYD0XpTZixv1QldkWNeQyBnoja7MgrTVp3E3PTLSjWOTGCFfJ+U7bLaGQy/i+T85ytdwVrm0JiRmCsND6OTMW4SDwzHDhIk8JUcr4UBj3yynMgzAKB/f+DXoj6iy/2MPdSJy0R2NTzeR54q5wjNomA7QNBhgsv0499cxoBBVaYvJuzO9pTdYGbKuZPEGYqG00saI8RfaeGTEeK4ZhHDo1c7bEeyCskuzWvjL3FjJXRLnqMcMRqVbw1yp3ky2xiIckDwSaszAT97e7N1tNqIJPauaECDe3EKXM7esmkfPM1Ahu/B5WeSnkMl6gCXN4eM+Mm6LTGq5yFDPJUSFuf7fxHbmrhKFJz0KKbQmJGYKwwAi6y7R2zkxdk3dhJoZheNHB5VKIETNhSvMYeiPL56qIEkUWW+qarAnJnubwcJ4ZljWvzgyYbyieJhoKvU1i+/nE2IkZMTkzgFVwVDXoUVXfxC9hISb3hjvP1SITvmMdmhJ6vqiovSCqEjRsdDcniWEYa+6N5SZbyXvzvO0p1GRjpzu2JNkJkWv8GGq3b/yJdgu/AtYlQuLc7EsEWIUP52FiWdYqRDwWM44eFXfzboTjFFY55lmRmCEIP6a1OwBzwqVGp+d7QIgNMwFW0cGFDcRUFwhvQNxik+6UtNojTEiut3h4PBVqaoWcX62cKysVU1kVIajQElsmzm1fqzNAbzTxN293b5IcXO5Ndb2ev0lGhSo9WsLCPjG62pJM7PGiolzIywsPD790Rb2tmPH0PCU0tyaYB7YkO8lTERMO5EJNJXaVa541WTSPUSrwzFTUivB8WcbhSryrG/S858udXkCANdxXrG3ke/AUe9gF2zyObRUdYA0HeiKK2goSMwRhobVzZribe53O6HUCMGAVQuWWL81QEWJGKWf43hXcTU5M6IsTRfVNRj4PQoyHh/PmcL8GOW+NJ/C5SToDf3Pz9GYrPC+1wrJ1T8UM5+FpaOI9Ip4KIi4hm+ubI7Z6zerhsd4ozeN7sQ6XyBYDfMWZnYfHk3ES7RKADUYTPydPzlOiYGFRwPo58ETMcJ4Z4eKk1qRxzyvXuNAxJyRiPUiM5sST0cTyIlFMeChZIIoA8/HlxBp5ZgjCj2ltzwwnNhr1RtR5mQAMWMUC9+tLjHhgGAZhFruu1Yr3zHDvXacz8F1lPSmF5gi37FPmhS3CMBNXAu/p6r4KuYw/X7a5N+JyZoQLK4rNu9EbWTTojaKbJArzd4QJ1mI8M9UNehiMJlFdmgHbijMAqORXfXf/2HDnoqbRwAsZfiV6D45NYjOeGU9EJyeIGvRG3utabvGYisqPqrWtXPMkSVsht+b68EnjFqHmSdI4J4o4D1N1g3XttjgPWgu0FSRmCMJCawgYIVyiYYPeO+8Fh70nRoxnBrCKDu7GJMamUKW1UR2HqHEs4qW8RryXSJgAzCc1ixCNXLiqvE7HJyNHeOgp4sVMg55fW8lTERKmkkPGmN/fm47PQjFT12S0JliL7LBc1aBHtUjPVyyfk2SbjOxJmCkqVMnntlU1WBdvjQpVQuFBGI+rFuNEjJg8qzCVgq8S4jw83DiehJn4VexruS7Y3Lpi4kKK/Dh8SNF9Wxy9cBaPYIjCZSdiX0BihiAsMK3smQmx3NxZFvwvnBCFeDGjVtp+fENECiN7D4o3VVFcyIthxM3NPg9InGdGIGa8qBrjbk7C0t8wDwUjJ37qdAb+F7ungohhGIRZ3ra6QQ+tSDFjbWxozSVSKWS8yHYHhVxmU0LvtWem3ttuz9Z+QBUiFhQFrLZX2iV7ezoOJ4qq6ptgMJoEQsRzzwwnQrQiBbB9oraYa4ZPGHcIBYpbgqW1ITFDEBZae20mZzd3e0HiCSq7X59ivTz2Hh1vwkzcl3CoUu72gozObPGq3FxlFRCcZ0bMnDjRIezR4emcrHlSBr4ZoJg8qTDLLtX1etE3OI3TBolKj9sQ8A0SvViclBMtjjkzIscRhPE8T/bmQmfiGyQC1o7XlfV6PleLYcR5QzgviNjKNT73pkZ8fhRXhVVZ3wSTieWPj5jmnG0BiRmCsGDjmWkFNaOUMw4iyV6QeIJaIU2YyV4wiBmHCzM1N6bb43CeGb7cXIywMu/ToDcKGgF6bk8EHzawiBkRIiRcsIaWWM8MAHBNmbWNBknCTNUiuzQDzhskiu32rG00595wK1176uHhhIIU3Z45z4yYBGDhOGYvkTX85klIhi/lr+cq17jQjofnWtASQDiOmPwoo8mcdC4mx6otITFDEBaEnpnWiAgzDGMjFFQKmVeiievoyiEm4dbZfvbjuoODIBJpS5iDmBGTd2PNTeLDTGI8M1yYySJmxHhUIiwiqlZnTUZ2pwOrPWq5OS5psxaXhzc42/WzxN+YhCuki12cVBgK5GwBgCgPhR5nf3W9XrQtDg0S60WW4YdZxWKFyMo14TkymcRXrgmFa5PBxLdL8EQAqxQy/vOnbbSKGfLMEISfY7vQZOskuAnLK9UiRIMQe9Fh76lx2yaFBGLGzvMhRjwAVvHSZDRZxvF8TtwxbmgSdDUW45mxDzOJEjPmL/46oWdGjJixnJLqBr2oGxNgu36W9cYkZoV0R1EU5aEoihSsw8Xl74TJWY8Sd23G0RlEd2nmlq4wNzVkeSHicRm+oHKt3MvKNZY1HxuxIUUbL5xALHq65Anf46jBIMq705aQmCEIC6290CRgL2bEJ/+a97f9+IoNWdmLFzFixr4HhpgGfoBjuCpUhCjivF86g8mr5oTcON703wnnPTMG1PBhJs9vBtxbC7u6evprnRNR9U0GrxYnFebeiC1Zt3pmrEnEYu6RwvXOuARgT/NuuBu8wcSirsnInyePy/AFPYW0Im/8aoWcv+68qVyzCle9wJPneRUSN47QFk+XKWkrSMwQhAXbaqbWeQ9h5YgnVSTOsBcdCrk4o+270YoRRfb7iPU6cSEiDnFhJus+1h48nouZELv+O+LCTOZ9mgwm3gMhyjNjmRLX/CxS7fmNKYzv0mzkc100YlZIF4RCuHJzT8fhbpI6g4kPKYaK0L+RfE6SHrU6sy2e5iSFKeX8Z19YuebpebKKPEHlmtpzhSYMV3Hdnr0JM/GJu6JCilw3bT1//ZJnhiD8HJucmVYTM9KFmew9OwqRCsxezChFiCIHQSRybvaiQ4zgc1Y1Ji6p2bb/jhgvkdAjVFYjvkKLEzN8lZcIL5HwfXlvkxdLV5g7WYtbnFQoOLgEay4vyKNx1NbcG86WCA+PjUzGIEJlG1JUKWQeX8PCyjU+P0pEsrfQGyK2DN9ZmEmMF84aZhKEFClnhiD8G1sx4/9hJuGXrVLOiLZZpWAEf8tEjSOXMTaeArEhL/vwlBhRJJMxNiKIYcQJNHshFSLCFqVcxr83l1gqJgSnlplv9FwzQTHiLERh9UBw3iYxidphgtL3Br1R1DhyGcPnQxXzYsZjU6zhKkEfH3ECzTbZW0ySNjeG0BYxXjheLDYZvOgpZPUSeRMessmPoj4zBBEYtHbTPEDaMJPaRsyIH0u4r9qLcYQCRqw9KjvRoZJ73ztHLVKg2YsOsT2BOE8Rv8yDGDFj2cWbRUVlMuvSFeXeVItZxhB2exZVLRZiW/quFnF4IwSJxPVerERvb4u4ZG8nPYVEeGa499Y26Pn8HY2H43Bj1DUZvKpC0lACMEEEHrI2yJmxEQ4SJgCLDTHZ2yQ2PGS/r9hxpAh5AbaCQSovkdhuzQ6dmkWIImuYyeKZEV2Gb77JXfOiKaF9g0SGETcnPsHaMicxnhlOQNQ26r1a74wvw6/2ogzfptuzXvQ44XYhL8CbZG+j6PJuQLDmmhctAdoKEjMEYYFpg5wZoejwpvsvYCtmvBEhUokZpRSeGQkqqwDbpR3UIiurpPLM2ItWMV4Vu7xo0Q0S7ZedEFUtprLz7ijlXnm+OG+TN2JGWPruTYNEb3oKcSJE2CBRTM4MJ8aKBJ2nPf08CReh5USnmGRvzpZ6nbVnkzfrybUmJGYIwkJblGYrZALh4EVIB7C90QvH9XgcuW3OjFhsxZVElVVixYxCCs+MRH187McRIYrsdxHf7dlSXWXp4+PpWlPCMfilK0T2FOJFkSUPSEyYyWmDRCk8MyJEiLMEYG8SrLmQlxhbhIn0/KKtXrQ5qNUZoDNYrhkSMwTh3whvv62VACwXCAdv8lwAuwRgkeLB3g5vBJYwJCR2HPtjIrbiSynYz9tcF/6xDz0z9odB7KKiUnRqFvbxAcR5QoS2cKJITDUTd2y1jXp+FXAxYoazhas4E7d0haVZo97aq0ZM1Rn33tZQoOe2yAVJ8JznS4wA5ubEjSHWnraAxAxBWGjthSYBQCkY2NM+IQ5jCcM6XnhmlBKFq1QSJCTbe3TEJgALj7NYj4r9jV4qz4yYm4r9aZFsHS4v+/h4Ywu3HydCxGgizhYuyRUQ54FQ82X4XLWY59evUABxeUBihGu4XRhPbAPKcN6DZhlH1Lm2HUNsflRb4J9WEYQPsFnOoFVWZwLkAtHhrZiRM9J4eVojZ0aqBGApxhEdqpIgcRewFUFyGSPqXCkZW6+FWAEhxUrr9vuIDTs4lOGLOLz2YyjljKjPFXduOW+TqPJ5hYz/DuGSZcV5Q+zCeCKvuzA+P8ri4RETUrRrHBkqMj+qLSAxQxAW2sQzI5fOMyNcpNKbMJNKgvAQIJFnRiIxI+yGLDZUZe+JkcIzI6ZXDeAkZ0akgLA/nmFK8SEZDrGeA/txxBwae7Eg/hzZj+O5MQzDOAlNiheL3ggrwOqZ4crERfUUUts2jvTXfBnAx2Lm9OnTuPXWWxEfHw+NRoMRI0Zgy5YtNtsUFBRg6tSpCAsLQ2JiIp5++mkYDAYfWUwEM22x0KTwJiv38j2E4subBGDJSrOl8MzY7Se2NFtlUwIvTWWVFKJI7I3JXhuKFUUOc/KipLq5McWOI42YkSo/yndl+Pbv7cuQon1+jFgR3Rb4VMzcdNNNMBgM2Lx5M/bt24cBAwbgpptuQnFxMQDAaDRi6tSpaGpqwm+//YbVq1dj1apVWLRokS/NJoKUtvDMCEWHXOSNmt9f8On1LnFXmuZ7Nn1mgsAzY+85E3uDs22UKDIHyO5SEVtubn98xZxvh/J5sdVidjdG+zm6g/25FS1mHESISDFj9/6iGiTajSE22VsKUWS/ar0YT15b4TMxU15ejjNnzmDBggXo378/unfvjldeeQX19fU4evQoACA3NxfHjx/H559/jqysLNx444146aWX8N5776GpqcnFOxCEZ9g2zWut0mzG6d9iEHqPxC4yCdjenLyZt20HYGlKs9ViE4Cl8BLJpLlRCj0z4m2xfSz22rF/f1+uwyWFZ0YmY2zOi3jBKZGHR4LV4+1DZaLzo+xDiiJEkcN8/Ngz4zOZFRcXh549e+Jf//oXBg0aBLVajY8++giJiYkYPHgwACA/Px/9+vVDUlISv19OTg7mzJmDY8eOYeDAgU7H1ul00OmspWRarRYAoNfrodfrne4jBm4sKcf0N4J9jsL5GY1G/nmjydgqc2YgSORkWa/egzVZ7VXImj9Hrs6hDCbhoKJtEt7j5Iy4a4ZhjQ6PXQ3jbH7Ce7RSxoibk50tMog7NsLvfzHHRa/XO9zoGYi7dhzGMbk+vg6YTDYPlS1cey3hKNDEzSlEKePzS1RycedaKbNNsG7p89QS9stxyFgj9HqTR9+jcsb2+KpFz8nWFgXj+fG1+W4AEKpo3pbWule4O57PxAzDMNi4cSOmTZuGyMhIyGQyJCYmYv369YiJiQEAFBcX2wgZAPxjLhTljGXLlmHp0qUOz+fm5iIsLEzCWZjJy8uTfEx/I9jnmJeXh9IGgPtI7Nu7F43nPO974YpLBTJwDtGCSxexdu150WOdqmIAmO+UFeVlWLt2bYvbN3cOj1VaxyktLXE5TnOUl1jnduLYEawtO+zxGBU6QPi1tClvg9shP+H8ioustpRcLcTatZc9tqW6ydaW3b/no+SYx8PgiuCcN9TVijq+9iLk1InjWFvluTFXLlltAYC8XPePLwfLAsLjUlwk7vievWq97gBAwYj8njHKwXWJaqirEXV8T5TZ2nL6+FGsLT/i8TiNdVZblDIW69ats3ndnfmd1wLC41t0+RLWrr3gsS3XSm3P9a5ft+OM2rMx6vS2tlRXXhP9PSOW+vp6t7aTXMwsWLAAy5cvb3GbEydOoGfPnpg7dy4SExOxY8cOhIaG4tNPP8XNN9+MPXv2oEOHDqJtWLhwIebNm8c/1mq1SE1NxaRJk6DRaESPa49er0deXh4mTpwIpdI/16vwlmCfo3B+hdomvHzwVwDAsOuGYlT3eMnf7+zms8gtNAuY7l0zMCWnh+ixYs9X4P0TewEAHTskY8qULKfbuTqHmrPX8PHJfQCADsnNj+OKLfVHsP/aVQDA4IFZmDLA889waY0OS/dvA2DOWblp6hSX+zibX/7/jmNX2RUAQEaXzpgyJdNjWyrqmrBo31b+8cgRI9C3o+ffH8dyT2PL1YsAgJjoKEyZcr1H++v1eqzfYHuDGNC/L6YMTfXYltObzmJTkfn6c/f4OuPpPXnQG81iv2t6GqZM6e3xGBW7CvDDxZP8Y4UMor5n3jy1E9UV5hteYnwspkwZ6rEtiuMl+PfZQ/zjoYOyMKW/59fvv4t243JdFQAgXK3ClCljAXj2PXq0UIu3j/3OP87s2Q1Txnfz2JatjUex/1oR/3jyxPGIj/BMzdQ3GfDXvZv5x528+J4RCxdZcYXkYmb+/PmYNWtWi9tkZGRg8+bNWLNmDSorK3mB8f777yMvLw+rV6/GggULkJycjN27d9vsW1JSAgBITk5udny1Wg212vGkKZXKVrkht9a4/kSwz1GpVEKltHpilApFq8xXLUigUyrkXr2HUjCWSuna3ubOodAmhVy8TXJBfotaJe74hamt50DOMB6NIZyfMO9A7JxCQ2wfq1XiPgMqhfCcy0SNIWPM1Xas5fCEiPw8CpceUMo9O75CVHIZ9JawbIgb154zQlS2+yhl4r5n1HYJ1mJsCQ9ROTwWNSfBZ8mZLe7MLzzU1pYwtbhzHWKXrBsWovZ4nHCZXeWaG8dX6nuFu2NJLmYSEhKQkJDgcjvOdSSzS7KTyWQwWWKy2dnZePnll1FaWorExEQAZheWRqNBZqbnv7QIoiVkbbDQpLBpnrcJwMJqG/v4uCdItcCmcF+xicTC0myDXW6GR+MIEnjE2mJ/fsQmWcslSPpmGHNSaqPe5DCmJ0jRCwiwnKcmo8OYnuBwfEVee8IKQan6zEhRuSa2jNk++VhstZj9OGKSvRVyGWQMYGnS7PV6cq2JzyzLzs5GTEwMZs6ciUOHDuH06dN4+umnceHCBUydOhUAMGnSJGRmZmLGjBk4dOgQNmzYgOeffx5z58516nkhCG+Q4mbsCuEXiszbpnmC3b1pwCdVFRfTzN+eIDw+Ji9SlhSSiBm7H1oixxGeG2/Ok/BGIlZY2fQC8nHXaPv9xLY4El4zotfhkqiaSS3BAqf2gkzsuXYUMyIr6SSoUmwLfCZm4uPjsX79etTW1mLcuHEYMmQIdu7ciZ9++gkDBgwAYHZbr1mzBnK5HNnZ2bj//vvxwAMP4MUXX/SV2UQQI5WHoiWkLM0W3ly9EjMyaeZt23RQ3BhS/fJT2XRaFjeGg+dA5DG28aB5MT+FBIuUqgQ3Sq96CkkgZuzFolgxIxSuYkWI/bkV28dH+P5SiRCF6HNtf3y99+Z501SztfFpB5whQ4Zgw4YNLW6TlpYmurqCIDyhLfrMyAVfTHIvuvYCdk3+/MIz471vRqrOy1J4ZmQyxsbFLlYwKiTyzMgZ74WwVCutS9Eg0f5XvpimeYDtMRXdlNChmaBIISJ4f7HnyN67JDaEbN/3SexnS62QoYYfx3/FjP9aRhBtjE3OTCu9h+2q2d6NZRO+8EaEtELOjK/XorPJmfFCQChsxKcUOTPiT7pwHqLDTFLlzAjX85JgMVCGEd9128YWkXOyP7diz5PQIyjaoyJBl2bAVhRJ5oUjMUMQ/o9NzkwrrWdgmz/h3cdPaK93OTOM07+9scfXkXWbBT29mJMUXhUpEoABadbiapWcGQlyMVRymWgBrJBgJXr78yL+XEtgi1xme81IkB8l2TIlfhxm8l/LCKKNaZtVs1unmkm6BGBvLBJ6eHwrZ2yrmcSPI4WYsRnDiwRK4a7iPTPS5O9IcYNTSpADZD+OFIITEP/ZtM1rEn+u1RJ40KTKj5Jq7bbWxn8tI4g2hmnhkVQIvzS9r2aSSswIw2vB4ZlRSFQ1JtxXrIdH+GvdmxJ6oS1ibyrCc+3NzVaKaibbEJ5oUyTxzNgfT7Hj2H4mxU9KCm+erSCSJj+KxAxBBACtlfQrRPilImU1k1ThIW8iXzbpv/6UMyNRublYr4qtd8eLG5wE4tVWzEiTRyFFyMubc6SQIKTo4JmR4Fx7I1ylqICTSoSoJBJFrQ2JGYKw0BZixuZXpJfvZ9tnxptxpAkPtUWfHneRqoLIZmVysQLC5sYkkWdGpIAQnhdv8h+kEOU23jMvrhcpkr2ly5nxPtcFsKtck2AFeq88MxKUvrcF/msZQbQxTBt8GoQdbr25ydrv780vflsRIt4emxCVj3/A2YTzJPLMSNFJWLLSbJE3J+HbS/VrXezhVcql+SzYHF+xnhm74ynW29QqlWsS2CKdZ8Z/JYP/WkYQbUxb3H/DVcI1gyTMmfHihi1VuErmP1rGTsyIH0d4OHzdNE8KD48UniZAmj4+wjl448gT2iLai2EnGPzJMyP2XEsmXCkBmCACi7YIjYQJFvrz9v1sklO9CjMJ/5YmJOPraiYp8kvMeD+OVJ4Z27CiuBPeGuX8YpWrjWdGovJ5KZaccPZYzDheeeFsRJHIkKJE4U2bCi0KMxGE/9MWYiZc7X2HUA4bESJRXohU+JNnRqo8ILHj2IYMJLrBSZAA7Ouu0bY5M6JNsU0AFrskglSl2RLkNQG2ifhSnGuxggiwDR9T0zyCCADawpkg9Mx4KyLkfhZm8qcOwLbdkcWPI0W/IZv1uLxJAJagEkm6pSuc/+0JUt0YbXNvvPdimMeRwDMjWZjJ+3PtzbEWHlKqZiKIAKCtPTN6o8mrsRiJQilSNc0T/oLzpl+NFEjl7pdiHlIlakuRj8HYCFfRpkgigIXeAqM3K6RLJFyFSFHiLVVPIbHnWoq8G0C675nWhsQMQVhoC29CiKArp87gnZiRqmJHqtCDv3pmfJ2/o5CoaR7LWu/44kMPwr+9Uq7WP0XnzFh3NJnEqxkp1s+yR+znQIpcF8BOiIjOj/LeuwNIU9HXFpCYIQgLbfFBFX5JNuqN3o0lkXiQSoRIEXqQitZIxBSL8F7kTehBeLsXnRQq0aKiUowjvGF74ZixEYittaaau9iEFCVLAPZeuHpVRSfRNdPakJghCAtt/T3orWdGqi/u1ljOwNdqRi5ROEWKhfWEnhlvbnBC74UkCcASleFLUUEk9Dp5ik1pto/FjG3SrTTeUtFhJskaRzq3y98gMUMQFto6HBEXrvJqf1sRIs043vVkkeZGKQVSdZeVIklVqkZqwkiM2F/ardEgUewwjFSeGYnOtRTYVlZJlOAsQZhJsrXb/FfLQOF6E4IgpOSTB4bg9/PXcPOAFK/Gkdt8yfj2VzbgX2EmqRbhlMYzI00ipkngvRA7Jal+ZQvvr74O7UjlgZACqRYVFZ5rKcJM0n2uff3Jbh4SMwTRxkzMTMLEzCSvx5Es10Uiz4xtUqivcxekWcRQilJU4Q02MkQpehxhJEZ0zxvJGhtK4xXk8CLK1CoJwGKxaZfgTX6UBF44W5En2hTpvh9aGQozEUSAIlnlhs1PL29+wfmPO1oqz4EUnhnheYoK9UbMeBOMMSNVSFEmsXBlvQg0qWxCO772zAi8cF6FFKXNj5IqZ8bXP1JagsQMQTghLS7M1ya4pDVyZrwbx/q3r7/ybD0z4seRYi0a4c1IEyreGe5F9TKPVKEHqfMovNFpQsHp7Ur03iJVyEsoZsSOI1lIUaI8q9aGwkwEIWDHM2NR12RAfITa16a4RCqPivCLzpv7pX/1mRH87YUxaj/yzJgk8MxIFTLwpwoXldzau8nX+TtS5UdJEVKUbuV4qUKTrQuJGYIQkBrr/x4ZDkYijwojkX+W8aMUYGEipjdfwFJ4ZoQ3Eo1XYsZrUyQLGUjlzZMCoWjwdWm2VN2epRCuUoWZhNPwYy1DYSaCaO9I9cvarzwzEn2RSyFmGgTNETVeJQBLnTMjTR6FFNePVGEmX3tmhNdaqEqaMnyxSNbtGdJcM60NiRmCCAK86+YqkQ3N/O0L5BKspAxIkwCcpAnh/w5RylvYsmWkv8GJH0fqZG+vEoD9NGdGuKisp0jvmfFmHOvfvv5ctwSFmQiinSPZry0/aponVQ+eaVkd8e2+K+jiRUJ4bLgKa/880maRUTFIfYPzxosh1VIaUiDMa/J1NZMwzBXuhZiR4FRLeK7953PdEiRmCCIIkGwZAi++RSXKR5YEm9wFL4wZ0T0e654c6XUuVWaKxqv9Ae+Sszmk601k/dvXYSalRH1mOkaHorCqQbwhsBUNYV6IV8k9MxKFFH39uW4JCjMRRBAg1aKBUtng606hUv5C791Bgwi173/3+VPOjOSl2V7sq5LIM9MxJtQLK8xI5ZmRRMwIK/rawXIGJGYIIgiQqs+Mdzb4z5eer8MNrYFRgqSZYFyHS7h+lje2zB3bDQAwukeC6DGE7x+m8nV+lPQl1b4+1y3h+58bBEH4FMkSgP3oe85mRWYf2iElUuRRSBUesvXCeY9U1UzelGaP7pGATfNHo2O0eA+N8Lh4I2ak9sJ5E2YKFM8MiRmCCAKkWpvJKxtsxpRkSNEIv7yluDH4A9LnzEiVACxBzoxU1UxeKvOuCRFe7a83WucR7kVoUhLPjE2YSfw4/tQgsSUozEQQQYCvc1QA/82ZCQ4p0wrVTH5Umu3NSRKGmXytWxsFPYW86R7tr5Vr/hy9JTFDEEFAZ4nWkvJuOQP/cUfb/EIPEjUj9Q3OG8EpXUM27xF6Zow+VjPp8eH83954rEwS50d5V+3oTx2kmofCTAQRwHz16PU4V1aH6zPifG2KX5Vw2mqZ4FAz0vQe8X4MQLqlNDi8qmYSeGaMJpP3xnhBkiYEv/x5hFedngFpzrVcoh8XTIB4ZkjMEEQAMywjDsP8QMgAdqEHH/+CY2xyZnxoiIRIkwAsfRm+NH1mxE9OYSNmvDbFa/qkRHk9hiSLirbCmmv+vNAkhZkIguDx5qvKX3/BBYuYkSKEItV58ac+M0KkWOXcH5C6NNu7cZz/7W+QZ4YgCEnwp2omIUGiZaT5te6nlWveTu25Kb1RUFGP/p2894r4A1Kca7lEocBAqWYiMUMQBI93CcA2j7y0RDqCpjRb4pwZr7pGCwaSJMzk5f6PjMrw2gZ/QuqeQt7gzwJGSHD45AiC8Dn+1AEYsIYcBnaO8bEl0jChVyIAoHui+F4orbJ0hR+c62BD8so1qbo9+3GciTwzBEFIgtRdYb1l/wsTUddkQEKk2temSMKSm3tjSHosJvdNFj2GZAukQ2LPTJB4z6RCkjCTTBhm8qI0u5m//Q0SMwRBSI4/VD2EqxVedWH1NyJDFHggu4tXY7RGUqjvz3TwIU0CsPdjmMfxn3W4WoLCTARBSILUvUcI6WmdMJMUnhmvhwgqbh/YEQAwLD1W9BitU4YvyZCtQvD8bCEIwqf4azUTYcVfS7MJW/52W1+M7BGPcT2TJBnPq2TvAIkzkZghCILHm1/I/rQ2E+Gc1gj/+UM1U7ARplLgtoGdfG0GALsEYD9WrhRmIghCEujXemAh1SmSZDkDijMFBP78sSYxQxCEJFC5bvvEn3+tE2ak8sj587kmMUMQhCTY5sz475ceITF+tJwB4RypPo0kZgiCCH6omqldIkVSscKfy2QIK358mlpNzLz88ssYPnw4wsLCEB0d7XSbgoICTJ06FWFhYUhMTMTTTz8Ng8Fgs83WrVsxaNAgqNVqdOvWDatWrWotkwmC8AKqZmqfePNr/cP7ByMhUo2VMwdLaBHRWviz5mw1MdPU1IQ777wTc+bMcfq60WjE1KlT0dTUhN9++w2rV6/GqlWrsGjRIn6bCxcuYOrUqRg7diwOHjyIp556Cg8//DA2bNjQWmYTRLuG9cLhT9VM7RNvhOvkvsnY/dfxXvVTIVwjWednP/6V0mql2UuXLgWAZj0pubm5OH78ODZu3IikpCRkZWXhpZdewrPPPoslS5ZApVLhww8/RHp6Ot544w0AQO/evbFz50689dZbyMnJaS3TCYIQgb+tzUS0Dd7mUfjzDZKwxZ89Mz7rM5Ofn49+/fohKcnaFCgnJwdz5szBsWPHMHDgQOTn52PChAk2++Xk5OCpp55qcWydTgedTsc/1mq1AAC9Xg+9Xi/ZHLixpBzT3wj2OQb7/ADP5mgymkQfC5PJyP9tMBgkOabujBHs57C15mcyeXOuTfzfBr0eepha2No1dA5bF6/OtdH6uTYaDNAzzr23rTVHd8fzmZgpLi62ETIA+MfFxcUtbqPVatHQ0IDQ0FCnYy9btoz3DAnJzc1FWFiYFObbkJeXJ/mY/kawzzHY5we4mqP5q+DsuXNYqz8javyjJQwAOQBg86ZN0KhEDQPh19LatWvd3ivYz6F08zMf39OnT2Ft/UlRIxwvsp7rDRs2QCFRwgKdQ6kxn+vjx45hbcVRUSOcKrQ910oX51rqOdbX17u1nUdiZsGCBVi+fHmL25w4cQK9evXyZFjJWbhwIebNm8c/1mq1SE1NxaRJk6DRaCR7H71ej7y8PEycOBFKpVKycf2JYJ9jsM8PcG+OT+bnAgDuGjcYo3skiHqfun1X8OX54wCACRPGIz5C3GrVnC0AMGXKFJfbB/s5lHp+3PHt0aMnpozJEDVGyW+X8OOlUwCAG2+cDKXcOzVD57B14M51nz59MOX6zqLGKNh2HmsKzgIAbpw8GapmlGtrzZGLrLjCIzEzf/58zJo1q8VtMjLc+3AkJydj9+7dNs+VlJTwr3H/554TbqPRaJr1ygCAWq2GWu34RapUKlvlQmqtcf2JYJ9jsM8PaHmOO54ZizOlNRjbM1F0DoNcLuf/Vkl0PD0ZI9jPodTzk8tloseTyaw3NLVKBblEyRR0DluHxKhQ8eda+LlWKV0KV6nn6O5YHomZhIQEJCSI+9VmT3Z2Nl5++WWUlpYiMTERgNk9pdFokJmZyW9j72bOy8tDdna2JDYQBGEmNTYMqbHShWApqbP9QGfaf/nHPQOx72IFbuzbQZLx2mXTvIKCAhw8eBAFBQUwGo04ePAgDh48iNraWgDApEmTkJmZiRkzZuDQoUPYsGEDnn/+ecydO5f3qjz++OM4f/48nnnmGZw8eRLvv/8+vv76a/zlL39pLbMJgpAA//3KI6SAoXW4AoJbBqRg6a19JfOctctqpkWLFmH16tX844EDBwIAtmzZgjFjxkAul2PNmjWYM2cOsrOzER4ejpkzZ+LFF1/k90lPT8cvv/yCv/zlL3j77bfRqVMnfPrpp1SWTRB+CJVmBxZSec/IC9d+8Odz3WpiZtWqVS679aalpbmsVhgzZgwOHDggoWUEQbQ21DSPIIi2hNZmIghCekjLBDUsS0tDEv4FiRmCICTHj73RBEEEISRmCIKQHNIywY0/504Q7RMSMwRBSA7d7AiCaEtIzBAEITkkZQiCaEtIzBAEIQksrEmh/txcizCTFif9OnUE4St8ttAkQRDBC2kZ/+W/j1yP/QWVmCJRV1iC8AfIM0MQhF+x7PZ+AIC37hrgY0uCk+yucZg7thtk/tzOlSA8hDwzBEFIjjeemXuu64zbBnZEiFLuemOCIAiQZ4YgiFbA2w7AJGQIgvAEEjMEQUgCrc1EEISvIDFDEITkkJYhCKItITFDEITkUNM8gggOAmUdLhIzBEFIDkkZgiDaEhIzBEFIDjlmCIJoS0jMEAQhCcIOwBRmIgiiLSExQxAEQRBEQENihiAIgvAI8rsR/gaJGYIgCIIgAhoSMwRBEIRHRIcpfW0CQdhAazMRBEEQHnHLgBTsPFOOYRmxvjaFIACQmCEIgiA8RCGX4c27snxtBkHwUJiJIAhJ8HZxSYIgCLGQmCEIgiAIwindkyJ9bYJbUJiJIAhJEDbNIwgiOJiUmYSXbu2Dfp2ifW1Ki5CYIQiCIAjCKQzDYEZ2F1+b4RIKMxEEQRAEEdCQmCEIgiAIIqAhMUMQBEEQREBDYoYgCIIgiICGxAxBEARBEAENiRmCIAiCIAIaEjMEQRAEQQQ0JGYIgiAIgghoSMwQBEEQBBHQkJghCIIgCCKgITFDEARBEERAQ2KGIAiCIIiAhsQMQRAEQRABDYkZgiAkoWtChK9NIAiinaLwtQEEQQQHQ7rEYsVdWUiPD/e1KQRBtDNIzBAEIRnTBnb0tQkEQbRDKMxEEARBEERAQ2KGIAiCIIiAhsQMQRAEQRABDYkZgiAIgiACGhIzBEEQBEEENK0mZl5++WUMHz4cYWFhiI6Odnj90KFDuOeee5CamorQ0FD07t0bb7/9tsN2W7duxaBBg6BWq9GtWzesWrWqtUwmCIIgCCIAaTUx09TUhDvvvBNz5sxx+vq+ffuQmJiIzz//HMeOHcNzzz2HhQsX4t133+W3uXDhAqZOnYqxY8fi4MGDeOqpp/Dwww9jw4YNrWU2QRAEQRABRqv1mVm6dCkANOtJefDBB20eZ2RkID8/H99//z2eeOIJAMCHH36I9PR0vPHGGwCA3r17Y+fOnXjrrbeQk5PTWqYTBEEQBBFA+FXTvOrqasTGxvKP8/PzMWHCBJttcnJy8NRTT7U4jk6ng06n4x9rtVoAgF6vh16vl8xebiwpx/Q3gn2OwT4/IPjnSPMLfIJ9jsE+P6D15ujueH4jZn777Td89dVX+OWXX/jniouLkZSUZLNdUlIStFotGhoaEBoa6nSsZcuW8Z4hIbm5uQgLC5PWcAB5eXmSj+lvBPscg31+QPDPkeYX+AT7HIN9foD0c6yvr3drO4/EzIIFC7B8+fIWtzlx4gR69erlybA4evQobr31VixevBiTJk3yaF9nLFy4EPPmzeMfa7VapKamYtKkSdBoNF6Pz6HX65GXl4eJEydCqVRKNq4/EexzDPb5AcE/R5pf4BPscwz2+QGtN0cusuIKj8TM/PnzMWvWrBa3ycjI8GRIHD9+HOPHj8ejjz6K559/3ua15ORklJSU2DxXUlICjUbTrFcGANRqNdRqtcPzSqWyVS6k1hrXnwj2OQb7/IDgnyPNL/AJ9jkG+/wA6efo7lgeiZmEhAQkJCSIMsgZx44dw7hx4zBz5ky8/PLLDq9nZ2dj7dq1Ns/l5eUhOztbMhsIgiAIgghsWi1npqCgABUVFSgoKIDRaMTBgwcBAN26dUNERASOHj2KcePGIScnB/PmzUNxcTEAQC6X84Lp8ccfx7vvvotnnnkGDz74IDZv3oyvv/7aJq/GHViWBeC+u8pd9Ho96uvrodVqg1ZtB/scg31+QPDPkeYX+AT7HIN9fkDrzZG7b3P38WZhW4mZM2eyABz+bdmyhWVZll28eLHT19PS0mzG2bJlC5uVlcWqVCo2IyODXblypce2XL582el70T/6R//oH/2jf/TP//9dvny5xfs8w7Ku5E7gYzKZUFRUhMjISDAMI9m4XGLx5cuXJU0s9ieCfY7BPj8g+OdI8wt8gn2OwT4/oPXmyLIsampqkJKSApms+T6/flOa3ZrIZDJ06tSp1cbXaDRBe4FyBPscg31+QPDPkeYX+AT7HIN9fkDrzDEqKsrlNrTQJEEQBEEQAQ2JGYIgCIIgAhoSM16gVquxePFipz1tgoVgn2Owzw8I/jnS/AKfYJ9jsM8P8P0c20UCMEEQBEEQwQt5ZgiCIAiCCGhIzBAEQRAEEdCQmCEIgiAIIqAhMUMQBEEQREBDYoYgCIIgiICGxIwXvPfee+jSpQtCQkIwbNgw7N6929cmObBs2TIMHToUkZGRSExMxLRp03Dq1CmbbRobGzF37lzExcUhIiICd9xxB0pKSmy2KSgowNSpUxEWFobExEQ8/fTTMBgMNtts3boVgwYNglqtRrdu3bBq1arWnp4Dr7zyChiGwVNPPcU/FwzzKywsxP3334+4uDiEhoaiX79+2Lt3L/86y7JYtGgROnTogNDQUEyYMAFnzpyxGaOiogL33XcfNBoNoqOj8dBDD6G2ttZmm8OHD2PkyJEICQlBamoqXn311Vafm9FoxAsvvID09HSEhoaia9eueOmll2wWlgu0+W3fvh0333wzUlJSwDAMfvzxR5vX23I+33zzDXr16oWQkBD069cPa9eubdX56fV6PPvss+jXrx/Cw8ORkpKCBx54AEVFRQEzP1dztOfxxx8HwzBYsWKFzfP+PEd35nfixAnccsstiIqKQnh4OIYOHYqCggL+db/6bvV41UaCZVmW/fLLL1mVSsV+9tln7LFjx9hHHnmEjY6OZktKSnxtmg05OTnsypUr2aP/3975x0Rd/3H8CdwPYI5fXtwFdogTpcCQIOjU5R/eQmPT6ZbGiFH9URpOMHdas9ZfJv1YzVxhtlZtmaQbaqlJBERgCHlwyAUhDKIf87qVHeCkQD/P/mj3GR9A+GreHR++78d2G3xeLz73enz43Ovz4vi8wemkw+Hgww8/TLPZzCtXrsg5mzdv5l133cXq6mqeP3+eDzzwAJctWybHr127xtTUVFqtVra2tvL06dM0GAx8/vnn5Zze3l6Gh4fz2WefZUdHB/fv38+QkBCeOXPGb67Nzc2cP38+7733XhYXF88av8uXLzMhIYGPP/44m5qa2Nvby8rKSvb09Mg5paWljIyM5PHjx9nW1sa1a9cyMTGRw8PDcs7q1auZlpbGc+fOsb6+ngsXLmReXp4cHxgYoNFoZH5+Pp1OJw8fPsywsDC+++67PvXbs2cP586dy5MnT7Kvr49Hjx7lnDlzuG/fPtX6nT59mrt372ZFRQUB8NixY4q4v3zOnj3LkJAQvvrqq+zo6OALL7xArVbL9vZ2n/l5PB5arVZ++umn/OGHH9jY2MisrCxmZGQo9jGT/aZzHEtFRQXT0tIYFxfHN998UzWO0/n19PQwJiaGNpuNLS0t7Onp4YkTJxTXuJnUW8Uwc4tkZWWxqKhI/vz69euMi4vj3r17A1jV9LjdbgJgXV0dyX8bj1ar5dGjR+Wczs5OAmBjYyPJf0/64OBgulwuOaesrIwRERH8+++/SZI7d+5kSkqK4rk2bdrEnJwcXyuRJIeGhpiUlMSqqiquXLlSHmZmg9+uXbu4YsWKG8YlSaLJZOJrr70mb/N4PNTr9Tx8+DBJsqOjgwD43XffyTlffPEFg4KC+Ouvv5Ik33nnHUZHR8vO3udevHjx7VZSkJubyyeffFKxbcOGDczPzyepfr/xFwp/+mzcuJG5ubmKerKzs/n000/7zG8ympubCYD9/f0k1eVH3tjxl19+YXx8PJ1OJxMSEhTDjJocJ/PbtGkTH3vssRt+zUzrreLXTLfAyMgI7HY7rFarvC04OBhWqxWNjY0BrGx6BgYGAAAxMTEAALvdjtHRUYVLcnIyzGaz7NLY2IglS5bAaDTKOTk5ORgcHMT3338v54zdhzfHX8ejqKgIubm5E2qYDX6fffYZMjMz8cgjjyA2Nhbp6el477335HhfXx9cLpeivsjISGRnZysco6KikJmZKedYrVYEBwejqalJznnwwQeh0+nknJycHHR1deHPP//0md+yZctQXV2NixcvAgDa2trQ0NCANWvWzAq/8fjTJ9CvSy8DAwMICgpCVFSUXJfa/SRJQkFBAWw2G1JSUibE1ewoSRJOnTqFRYsWIScnB7GxscjOzlb8Kmqm9VYxzNwCv//+O65fv674BgGA0WiEy+UKUFXTI0kSSkpKsHz5cqSmpgIAXC4XdDqd3GS8jHVxuVyTunpjU+UMDg5ieHjYFzoy5eXlaGlpwd69eyfEZoNfb28vysrKkJSUhMrKSmzZsgXbtm3DRx99pKhxqvPR5XIhNjZWEddoNIiJibmp4+ALnnvuOTz66KNITk6GVqtFeno6SkpKkJ+fr3hutfqNx58+N8rxp+9ff/2FXbt2IS8vT/5vyrPB75VXXoFGo8G2bdsmjavZ0e1248qVKygtLcXq1avx5ZdfYv369diwYQPq6urkumZSb9XclKFA1RQVFcHpdKKhoSHQpdw2fv75ZxQXF6OqqgqhoaGBLscnSJKEzMxMvPzyywCA9PR0OJ1OHDhwAIWFhQGu7r9z5MgRHDp0CJ988glSUlLgcDhQUlKCuLi4WeH3/8zo6Cg2btwIkigrKwt0ObcNu92Offv2oaWlBUFBQYEu57YjSRIAYN26ddi+fTsAYOnSpfj2229x4MABrFy5MpDlTYp4Z+YWMBgMCAkJmXDX9m+//QaTyRSgqqZm69atOHnyJGprazFv3jx5u8lkwsjICDwejyJ/rIvJZJrU1RubKiciIgJhYWG3W0fGbrfD7Xbjvvvug0ajgUajQV1dHd566y1oNBoYjUZV+wHAnXfeiXvuuUex7e6775ZXFXhrnOp8NJlMcLvdivi1a9dw+fLlmzoOvsBms8nvzixZsgQFBQXYvn27/E6b2v3G40+fG+X4w9c7yPT396Oqqkp+V8Zbl5r96uvr4Xa7YTab5b7T39+PHTt2YP78+XJtanU0GAzQaDTT9p2Z1FvFMHML6HQ6ZGRkoLq6Wt4mSRKqq6thsVgCWNlESGLr1q04duwYampqkJiYqIhnZGRAq9UqXLq6uvDTTz/JLhaLBe3t7YoXprc5eU92i8Wi2Ic3x9fHY9WqVWhvb4fD4ZAfmZmZyM/Plz9Wsx8ALF++fMJy+osXLyIhIQEAkJiYCJPJpKhvcHAQTU1NCkePxwO73S7n1NTUQJIkZGdnyznffPMNRkdH5ZyqqiosXrwY0dHRPvO7evUqgoOVrSgkJET+6VDtfuPxp0+gzlvvINPd3Y2vvvoKc+fOVcTV7ldQUIALFy4o+k5cXBxsNhsqKytV76jT6XD//fdP2Xdm3LXjpm4XFsiUl5dTr9fzww8/ZEdHB5966ilGRUUp7tqeCWzZsoWRkZH8+uuveenSJflx9epVOWfz5s00m82sqanh+fPnabFYaLFY5Lh3ed1DDz1Eh8PBM2fO8I477ph0eZ3NZmNnZyfffvttvy/N9jJ2NROpfr/m5mZqNBru2bOH3d3dPHToEMPDw/nxxx/LOaWlpYyKiuKJEyd44cIFrlu3btKlvunp6WxqamJDQwOTkpIUy0Q9Hg+NRiMLCgrodDpZXl7O8PBwny/NLiwsZHx8vLw0u6KiggaDgTt37lSt39DQEFtbW9na2koAfOONN9ja2iqv5vGXz9mzZ6nRaPj666+zs7OTL7300m1Z1juV38jICNeuXct58+bR4XAo+s7YVTsz2W86x8kYv5pppjtO51dRUUGtVsuDBw+yu7tbXjJdX18v72Mm9VYxzPwH9u/fT7PZTJ1Ox6ysLJ47dy7QJU0AwKSPDz74QM4ZHh7mM888w+joaIaHh3P9+vW8dOmSYj8//vgj16xZw7CwMBoMBu7YsYOjo6OKnNraWi5dupQ6nY4LFixQPIc/GT/MzAa/zz//nKmpqdTr9UxOTubBgwcVcUmS+OKLL9JoNFKv13PVqlXs6upS5Pzxxx/My8vjnDlzGBERwSeeeIJDQ0OKnLa2Nq5YsYJ6vZ7x8fEsLS31udvg4CCLi4tpNpsZGhrKBQsWcPfu3YoLn9r8amtrJ33dFRYW+t3nyJEjXLRoEXU6HVNSUnjq1Cmf+vX19d2w79TW1qrCbzrHyZhsmJnJjv+L3/vvv8+FCxcyNDSUaWlpPH78uGIfM6m3BpFj/symQCAQCAQCgcoQ98wIBAKBQCBQNWKYEQgEAoFAoGrEMCMQCAQCgUDViGFGIBAIBAKBqhHDjEAgEAgEAlUjhhmBQCAQCASqRgwzAoFAIBAIVI0YZgQCgUAgEKgaMcwIBAKBQCBQNWKYEQgEAoFAoGrEMCMQCAQCgUDV/APqYJTCdFuwWAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy import signal\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.axes_grid1.inset_locator import inset_axes\n",
    "\n",
    "# Odd number of taps for FIR type 1 filter\n",
    "num_taps = 51 \n",
    "cut_off = 3000 # Hz\n",
    "sample_rate = 32000 # Hz\n",
    "nyq_freq = sample_rate/2.0\n",
    "\n",
    "# create our low pass filter\n",
    "# Hamming window is default\n",
    "h = signal.firwin(num_taps, cut_off/nyq_freq)\n",
    "\n",
    "# Plot the impulse response\n",
    "plt.figure(1)\n",
    "plt.grid(True)\n",
    "plt.title(\"Time domain impulse response\")\n",
    "plt.plot(h, '.-')\n",
    "\n",
    "# Plot the frequency response using FFT\n",
    "plt.figure(2)\n",
    "H = np.fft.fftshift(np.fft.fft(h, 1024))\n",
    "f = np.linspace(-sample_rate/2, sample_rate/2, len(H)) # x axis\n",
    "plt.grid(True)\n",
    "plt.title(\"Frequency reponse using FFT method (linear)\")\n",
    "plt.plot(f, abs(H), '-')\n",
    "\n",
    "plt.figure(3)\n",
    "H = np.abs(H[len(H)//2:])\n",
    "fig, ax = plt.subplots()\n",
    "w = np.linspace(0, sample_rate/2, len(H))\n",
    "H_db = 20*np.log10(H)\n",
    "plt.plot(w, H_db)\n",
    "plt.grid(True)\n",
    "\n",
    "axins = inset_axes(ax, width=\"30%\", height=\"40%\")\n",
    "plt.grid(True)\n",
    "plt.xlim(2600,3050)\n",
    "plt.ylim(-10.0, 0)\n",
    "plt.plot(w, H_db, '-')\n",
    "\n",
    "# Plot the frequency response using freqz\n",
    "plt.figure(4)\n",
    "q, v = signal.freqz(h, worN = 1024)\n",
    "fig, ax = plt.subplots()\n",
    "plt.title(\"Frequency reponse using freqz\")\n",
    "plt.plot((q/np.pi)*nyq_freq, 20*np.log10(abs(v)))\n",
    "plt.grid(True)\n",
    "\n",
    "axins = inset_axes(ax, width=\"30%\", height=\"40%\")\n",
    "plt.grid(True)\n",
    "plt.xlim(2600,3050)\n",
    "plt.ylim(-10.0, 0)\n",
    "plt.plot(w, H_db, '-')\n",
    "plt.show()\n",
    "\n",
    "plt.figure(5)\n",
    "plt.plot((q/np.pi)*nyq_freq, 20*np.log10(abs(v)))\n",
    "plt.plot(w, H_db)\n",
    "plt.grid(True)\n",
    "plt.title(\"FFT & freqz method give same result?\")\n",
    "plt.show()\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Real vs. Complex Filters\n",
    "\n",
    "As an example of complex taps, let’s go back to the filtering use-case, except this time we want to receive the other interfering signal (without having to re-tune the radio). That means we want a band-pass filter, but not a symmetrical one. We only want to keep (a.k.a “pass”) frequencies between around 7 kHz to 13 kHz (we don’t want to also pass -13 kHz to -7 kHz):\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/filter_use_case6.png)\n",
    "\n",
    "One way to design this kind of filter is to make a low-pass filter with a cutoff of 3 kHz and then frequency shift it. Remember that we can frequency shift x(t) (time domain) by multiplying it by e^{j2\\pi f_0t}. In this case f_0 should be 10 kHz, which shifts our filter up by 10 kHz. Recall that in our Python code from above, h was the filter taps of the low-pass filter. In order to create our band-pass filter we just have to multiply those taps by e^{j2\\pi f_0t}, although it involves creating a vector to represent time based on our sample period (inverse of the sample rate):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# h was found above\n",
    "f_shift = 10e3\n",
    "Ts = 1/sample_rate\n",
    "t = np.arange(0, Ts*len(h), Ts)\n",
    "w = 2*np.pi*f_shift\n",
    "exp_shift = np.exp(1j*w*t) # this is essentially a complex cos wave\n",
    "\n",
    "# Shift\n",
    "h_band_pass = h*exp_shift\n",
    "\n",
    "# Plot the impulse response\n",
    "plt.figure(1)\n",
    "fig, (ax1, ax2) = plt.subplots(2)\n",
    "ax1.grid(True)\n",
    "fig.suptitle(\"Shifting adds an imaginary element\")\n",
    "ax1.plot(np.real(h), '.-')\n",
    "ax1.plot(np.imag(h), '.-')\n",
    "ax2.plot(np.real(h_band_pass), '.-')\n",
    "ax2.plot(np.imag(h_band_pass), '.-')\n",
    "plt.show()\n",
    "\n",
    "# Plot the frequency response using FFT\n",
    "plt.figure(2)\n",
    "H = np.fft.fftshift(np.fft.fft(h_band_pass, 1024))\n",
    "f = np.linspace(-sample_rate/2, sample_rate/2, len(H)) # x axis\n",
    "plt.grid(True)\n",
    "plt.title(\"Frequency reponse using FFT method (linear)\")\n",
    "plt.plot(f, abs(H), '-')\n",
    "\n",
    "plt.figure(3)\n",
    "H = np.abs(H[len(H)//2:])\n",
    "fig, ax = plt.subplots()\n",
    "w = np.linspace(0, sample_rate/2, len(H))\n",
    "H_db = 20*np.log10(H)\n",
    "plt.plot(w, H_db)\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because our filter is not symmetrical around 0 Hz, it has to use complex taps. Therefore we need two lines to plot those complex taps. What we see in the left-hand plot above is still the impulse response. Our frequency response plot is what really validates that we created the kind of filter we were hoping for, where it will filter out everything except the signal centered around 10 kHz. Once again, remember that the plot above is not an actual signal: it’s just a representation of the filter. It can be very confusing to grasp because when you apply the filter to the signal and plot the output in the frequency domain, in many cases it will look roughly the same as the filter’s frequency response itself.\n",
    "\n",
    "If this subsection added to the confusion, don’t worry, 99% of the time you’ll be dealing with simple low pass filters with real taps anyway."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Custom Filter Design"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " we will use the method of starting in the frequency domain and working backwards to find the impulse response. Ultimately that is how our filter is represented (by its taps).\n",
    "\n",
    "You start by creating a vector of your desired frequency response. Let’s design an arbitrarily shaped low-pass filter shown below:\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/filter_design1.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "H = np.hstack( (np.zeros(20), np.arange(0, 1, 0.1), np.zeros(20)) )\n",
    "w = np.linspace(-0.5, 0.5, 50)\n",
    "plt.plot(w, H, '.-')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our end goal is to find the taps of this filter so we can actually use it. How do we get the taps, given the frequency response? Well, how do we convert from the frequency domain back to the time domain? Inverse FFT (IFFT)! Recall that the IFFT function is almost exactly the same as the FFT function. We also need to IFFTshift our desired frequency response before the IFFT, and then we need yet another IFFshift after the IFFT (no, they don’t cancel themselves out, you can try). This process might seem confusing. __Just remember that you always should FFTshift after an FFT and IFFshift after an IFFT.__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h = np.fft.ifftshift(np.fft.ifft(np.fft.ifftshift(H)))\n",
    "plt.plot(np.real(h))\n",
    "plt.plot(np.imag(h))\n",
    "plt.legend(['real','imag'], loc=1)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use these taps shown above as our filter. We know that the impulse response is plotting the taps, so what we see above is our impulse response. Let’s take the FFT of our taps to see what the frequency domain actually looks like. We will do a 1,024 point FFT to get a high resolution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "H_fft = np.fft.fftshift(np.abs(np.fft.fft(h, 1024)))\n",
    "plt.plot(H_fft)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See how the frequency response not very straight… it doesn’t match our original very well, if you recall the shape that we initially wanted to make a filter for. A big reason is because our impulse response isn’t done decaying, i.e., the left and right sides don’t reach zero. We have two options that will allow it to decay to zero:\n",
    "\n",
    "__Option 1:__ We “window” our current impulse response so that it decays to 0 on both sides. It involves multiplying our impulse response with a “windowing function” that starts and ends at zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# After creating h using the previous code, create and apply the window\n",
    "window = np.hamming(len(h))\n",
    "h = h * window\n",
    "H_fft = np.fft.fftshift(np.abs(np.fft.fft(h, 1024)))\n",
    "\n",
    "fig, ax = plt.subplots(2,1)\n",
    "ax[0].plot(np.real(h))\n",
    "ax[0].plot(np.imag(h))\n",
    "ax[1].plot(H_fft)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Option 2:__ We re-generate our impulse response using more points so that it has time to decay. We need to add resolution to our original frequency domain array (called interpolating)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "H = np.hstack((np.zeros(200), np.arange(0,1,0.01), np.zeros(200)))\n",
    "w = np.linspace(-0.5, 0.5, 500)\n",
    "plt.plot(w, H, '.-')\n",
    "plt.show()\n",
    "# (the rest of the code is the same)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Alt text](https://pysdr.org/_images/filter_design6.png)\n",
    "\n",
    "![Alt text](https://pysdr.org/_images/filter_design7.png)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both options worked. Which one would you choose? The second method resulted in more taps, but the first method resulted in a frequency response that wasn’t very sharp and had a falling edge wasn’t very steep. There are numerous ways to design a filter, each with their own trade-offs along the way. Many consider filter design an art."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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